The LCM of 2 and 8 is 8.
The LCM (Least Common Multiple) is the smallest number that is a multiple of both 2 and 8. In other words, it is the smallest number that they both divide into evenly.
The easiest way to find the LCM is to list the multiples of 2 and 8 until you find a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
As you can see, the first common multiple of 2 and 8 is 8. Therefore, the LCM of 2 and 8 is 8.
Additional reading: Wore Number 8
What is the greatest common divisor of 2 and 8?
The greatest common divisor (GCD) of 2 and 8 is 2.
This can be seen by observing that 2 is the only number that evenly divides both 2 and 8. Any other number that purports to be the GCD of 2 and 8 would also have to divide 2 and 8 evenly, but no other number besides 2 does that. Therefore, 2 is the GCD of 2 and 8.
It is worth noting that the GCD of 2 and 8 is not always 2. For example, the GCD of 2 and 9 is 1. This is because 1 is the only number that evenly divides both 2 and 9 (since 9 is not divisible by 2). However, in the case of 2 and 8, the GCD is 2.
The GCD of 2 and 8 can be found using the Euclidean algorithm, which is a method for finding the GCD of two numbers that is based on the division algorithm. The division algorithm states that, for any two natural numbers a and b, there exists a unique integer q and a unique natural number r such that a = bq + r and 0 ≤ r repeatedly dividing the larger number by the smaller number and then taking the GCD of the smaller number and the remainder until the remainder is 0.
In the case of 2 and 8, the division algorithm gives us 2 = 8 × 0 + 2 and 8 = 2 × 4 + 0, so the GCD of 2 and 8 is 2.
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What is the highest common factor of 2 and 8?
The highest common factor of 2 and 8 is 2. This is because 2 is the only number that is a factor of both 2 and 8. Factors are numbers that divide into another number evenly. For example, 2 is a factor of 8 because 8 divided by 2 is 4. 2 is also a factor of 2 because 2 divided by 2 is 1. However, 1 is not a factor of 8 because 8 divided by 1 is 8. Therefore, the highest common factor of 2 and 8 is 2.
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What is the smallest number that is a multiple of both 2 and 8?
What is the smallest number that is a multiple of both 2 and 8?
The answer to this question is quite simple: the smallest number that is a multiple of both 2 and 8 is 16.
16 is a multiple of both 2 and 8 because it is evenly divisible by both numbers. That is, 16 divided by 2 equals 8, and 16 divided by 8 equals 2.
In order to find the smallest number that is a multiple of both 2 and 8, we first need to understand what a multiple is. A multiple is a number that is evenly divisible by another number. So, for example, 8 is a multiple of 2 because 8 divided by 2 equals 4.
To find the smallest number that is a multiple of both 2 and 8, we simply need to find the smallest number that is evenly divisible by both 2 and 8.
The smallest number that is evenly divisible by both 2 and 8 is 16.
16 is evenly divisible by 2 because 16 divided by 2 equals 8.
16 is evenly divisible by 8 because 16 divided by 8 equals 2.
Therefore, the smallest number that is a multiple of both 2 and 8 is 16.
On a similar theme: Number 2 Work
What is the largest number that is a multiple of both 2 and 8?
The number 8 is the largest number that is a multiple of both 2 and 8. 8 is also the product of the two primes 2 and 4. The number 8 is the only number in the set {1, 2, 3, 4, 5, 6, 7, 8} that is a multiple of both 2 and 8.
Worth a look: What Is the Lcm of 4 and 10?
What is the least common multiple of 2 and 8?
There are a few different ways to approach finding the least common multiple of 2 and 8. One way is to list out the multiples of each number and then find the smallest number that appears on both lists. The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96. As we can see, the least common multiple of 2 and 8 is 16.
Another way to approach this problem is to use the greatest common factor. To find the greatest common factor, we list the factors of each number and then find the largest number that appears on both lists. The factors of 2 are 1, 2. The factors of 8 are 1, 2, 4, 8. As we can see, the greatest common factor of 2 and 8 is 2. To find the least common multiple, we take the product of the two numbers and divide it by the greatest common factor. In this case, the least common multiple of 2 and 8 would be 16.
There are a few other ways toapproach this problem, but these are two of the most common. In general, the least common multiple of two numbers is the smallest number that is a multiple of both numbers.
For more insights, see: What Is the Lcm of 4 and 14?
What is the common multiple of 2 and 8?
The common multiple of 2 and 8 is 8. The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. So, the LCM of 2 and 8 is 8.
What is the multiple of 2 and 8?
There isn't a definitive answer to this question since it depends on what you consider to be a multiple of 2 and 8. A multiple of 2 is any number that can be divided evenly by 2, so some possible answers could include 4, 8, 10, 12, 14, 16, and 18. A multiple of 8 is any number that can be divided evenly by 8, so some possible answers could include 8, 16, 24, 32, and 40.
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What is the lcm of 8 and 2?
The lcm of 8 and 2 is 16.
The lcm (lowest common multiple) of two numbers is the smallest number that is evenly divisible by both numbers. In other words, it is the smallest number that both numbers will go into evenly.
To find the lcm of 8 and 2, we can list the multiples of each number until we find a common multiple:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
The first common multiple is 16, so 16 is the lcm of 8 and 2.
Frequently Asked Questions
What is the least common multiple (lcm) of 2 and 8?
The least common multiple of 2 and 8 is 8.
What is the LCM of 2 and 8 in exponential form?
64 What is the LCM of 2 and 8 in decimal form? 2.25
What is the formula for LCM?
The LCM formula is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate the greatest common factor, or GCF, and then apply it into the LCM equation. The GCF of a and b is 2. So in this case, the LCM equation would be: LCM (2,8) = 16 / GCF (2,8) = 4.
How do you find the LCM of 2 and 8?
To find the LCM of 2 and 8, we need to calculate their GCF. GCF (2,8) = 2. So the LCM of 2 and 8 is 2 × 8 = 16.
How to find the least common multiple (lcm) of two numbers?
The least common multiple (LCM) of two numbers is the smallest number that when multiplied by each number results in the total being smaller than the LCM of those two numbers. For example, 36 is an LCM of 6 and 12 because 36 x 6 = 180 and 36 x 12 = 360.
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