What Is the Lcm of 6 and 9?

The least common multiple (LCM) of two numbers is the smallest positive integer that is a multiple of both numbers.

The LCM of 6 and 9 is 18.

To find the LCM of 6 and 9, we first list the multiples of each number:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

We can see that 18 is the smallest number that appears in both lists, so 18 is the LCM of 6 and 9.

There is no one definitive answer to this question as it depends on individual interpretation. However, some possible answers could be that the greatest common divisor of 6 and 9 is either 3 or 6. This is because 3 is the largest number that both 6 and 9 can be divided by equally, and 6 is the smallest number that both 6 and 9 can be divided by equally.

The highest common factor of 6 and 9 is 3. This is because 3 is the largest number that 6 and 9 can be divided by evenly.

Finding the highest common factor of two numbers is a process of trial and error, starting with the largest number and working down until a number is found that can be evenly divided into both numbers.

In the case of 6 and 9, 3 is the first number that we try that can be evenly divided into both numbers, so we know that 3 is the highest common factor.

If we had started with 4, we would have quickly discovered that 4 cannot be evenly divided into 6, so we would have moved on to the next largest number, 3.

The highest common factor of 6 and 9 is therefore 3.

The smallest number that is a multiple of both 6 and 9 is 18. 6 and 9 are both divisible by 3, so their lowest common multiple must be a multiple of 3. The smallest such multiple is 18.

The answer to this question is easily discernible by utilizing theLCM(lowest common multiple) of 6 and 9. The LCM of 6 and 9 is 18. Therefore, the largest number that is a multiple of both 6 and 9 is 18.

There are a few ways to approach this question, and ultimately the answer boils down to a matter of definition. The lcm of 6 and 9 is the lowest common multiple of the two numbers, while the gcd of 6 and 9 is the greatest common divisor. In other words, the lcm is the smallest number that is divisible by both 6 and 9, while the gcd is the largest number that evenly divides both 6 and 9.

The lcm of 6 and 9 is 18, since 18 is the smallest number that is evenly divisible by both 6 and 9. On the other hand, the gcd of 6 and 9 is 3, since 3 is the largest number that evenly divides both 6 and 9.

In general, the lcm of two numbers will always be greater than or equal to the gcd of the same two numbers. This is because the lcm is the smallest number that is divisible by both numbers, while the gcd is the largest number that evenly divides both numbers.

To see why this is the case, consider the following example. Suppose we want to find the lcm and gcd of 12 and 16. We can list the multiples of 12 and 16 as follows:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ... Multiples of 16: 16, 32, 48, 64, 80, 96, 112, ...

As we can see, the smallest number that is divisible by both 12 and 16 is 48, which is the lcm of 12 and 16. On the other hand, the largest number that evenly divides both 12 and 16 is 16, which is the gcd of 12 and 16.

In conclusion, the lcm of two numbers is always greater than or equal to the gcd of the same two numbers. This is due to the fact that the lcm is the smallest number that is divisible by both numbers, while the gcd is the largest number that evenly divides both numbers.

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both integers. In order to find the LCM of 6 and 9, we must first list the multiples of each integer.

The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.

As we can see, the LCM of 6 and 9 is 18.

The lowest common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both integers. It is usually denoted by LCM(a, b).

The LCM of 6 and 8 is 24.

Here is how you can find the LCM of 6 and 8 using a prime factorization method:

6 = 2·3 8 = 2·2·2

Therefore, the LCM of 6 and 8 is:

LCM(6, 8) = 2·2·2·3 = 24

In mathematics, the least common multiple, also known as the lowest common denominator (LCD), of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.

For example, the LCM of 9 and 12 is 36.

We can find the LCM of 9 and 12 by listing the multiples of each number and finding the smallest number that appears in both lists:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96

The smallest number that appears in both lists is 36, so the LCM of 9 and 12 is 36.

In general, to find the LCM of two numbers a and b, we list the multiples of each number and find the smallest number that appears in both lists.

finding the LCM is often used in mathematical problems that deal with finding the greatest common factor (GCF), or greatest common divisor (GCD), of two integers. For example, given the integers 24 and 36, we can find their LCM and GCD as follows:

LCM(24, 36) = 72 GCD(24, 36) = 12

LCM(a, b) × GCD(a, b) = a × b

Thus, to find the GCD of 24 and 36, we can divide both sides of the equation above by the LCM of 24 and 36 to get:

GCD(24, 36) = LCM(24, 36) / 24 × 36 GCD(24, 36) = 72 / 24 × 36 GCD(24, 36) = 72 / 864 GCD(24, 36) = 12