What Is the Least Common Multiple of 6 and 8?

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

In other words, the LCM of 6 and 8 is the smallest number that is a multiple of both 6 and 8.

To find the LCM of 6 and 8, we can start by listing the first few multiples of each number:

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

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

As we can see, the LCM of 6 and 8 is 24.

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The greatest common factor of 6 and 8 is 2. There are several ways to find the greatest common factor of two numbers. One way is to list the factors of each number and then find the largest number that appears on both lists. The factors of 6 are 1, 2, 3, and 6. The factors of 8 are 1, 2, 4, and 8. The largest number that appears on both lists is 2, so 2 is the greatest common factor of 6 and 8.

Another way to find the greatest common factor of two numbers is to use the prime factorization method. This method involves breaking each number down into its prime factors. The prime factors of 6 are 2 and 3. The prime factors of 8 are 2 and 4. The largest number that appears on both lists is 2, so 2 is the greatest common factor of 6 and 8.

You can also use the Euclidean algorithm to find the greatest common factor of two numbers. This algorithm is a bit more complicated than the other two methods, but it is also very effective. To use the Euclidean algorithm, you take the smaller number and divide it into the larger number. In this case, we would take 6 and divide it into 8. The remainder would be 2. We would then take 8 and divide it into 2. The remainder would be 0. Since the remainder is 0, that means 2 is the greatest common factor of 6 and 8.

There are many different ways to find the greatest common factor of two numbers. In this case, the greatest common factor of 6 and 8 is 2.

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To find the least common multiple of two numbers, you first need to find their greatest common divisor. The greatest common divisor is the largest number that evenly divides both numbers. To find the greatest common divisor, you can use the Euclidean algorithm, which is a method of finding the greatest common divisor that relies on the division of remainders. Once you have the greatest common divisor, you can divide both numbers by the greatest common divisor to get their quotients. The least common multiple is the product of the quotients.

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The LCM of 6 and 8 is 24.

The smallest number that is a multiple of both 6 and 8 is 24.

When finding the smallest number that is a multiple of two numbers, you are looking for the smallest number that is divisible by both numbers. In this case, the numbers are 6 and 8.

To find the answer, you would start by listing out the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96. Then, you would look at the list of multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96. As you can see, 24 is the smallest number that is a multiple of both 6 and 8.

There are a few different ways that you could have come to this answer. One way would be to list out all of the multiples of 6 and 8 until you found the first number that they had in common, which would be 24. Another way would be to use the least common multiple (LCM) formula, which is:

LCM(a,b) = (a*b)/gcd(a,b)

In this formula, "a" and "b" represent the two numbers whose LCM you are trying to find, and "gcd" represents the greatest common divisor. Applying this formula to our example, we would have:

LCM(6,8) = (6*8)/gcd(6,8)

LCM(6,8) = (48)/2

LCM(6,8) = 24

This is the same answer that we got when we listed out the multiples of 6 and 8, so we know that it is correct.

Hopefully this has helped to clear up any confusion about finding the smallest number that is a multiple of two numbers. Remember, all you need to do is list out the multiples of both numbers until you find the first number that they have in common, or use the LCM formula.

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The LCM of 6 and 8 is 24.

The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers. In other words, the LCM is the lowest number that is a multiple of both numbers.

The LCM of 6 and 8 is 24 because 24 is the smallest number that is evenly divisible by both 6 and 8.

To find the LCM of two numbers, you can use the prime factorization method. This involves writing out the prime factorization of each number and then finding the product of the greatest power of each prime number.

The prime factorization of 6 is 2 x 3. The prime factorization of 8 is 2 x 2 x 2.

The product of the greatest power of each prime number is 2 x 3 x 2 x 2, which is 24. Therefore, the LCM of 6 and 8 is 24.

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The LCM of 6 and 8 is 24.

The LCM, or lowest common multiple, of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of two numbers, you can use the prime factorization method or the Euclidean algorithm.

The prime factorization method involves finding the prime factorization of each number and then finding the LCM by taking the product of the greatest power of each prime number that appears in either number’s factorization. For example, the LCM of 15 and 30 can be found by finding the prime factorization of each number:

15 = 3 × 5 30 = 2 × 3 × 5

The LCM is the product of the greatest power of each prime number that appears in either number’s factorization. In this example, the LCM is 3 × 5 = 15.

The Euclidean algorithm is a more efficient method for finding the LCM of two numbers. To use the Euclidean algorithm, you need to find the greatest common divisor (GCD) of the two numbers first. The GCD is the largest number that evenly divides both numbers with no remainder. Once the GCD is found, the LCM can be found by taking the product of the two numbers and dividing by the GCD:

LCM(a, b) = (a × b) ÷ GCD(a, b)

For example, the LCM of 24 and 16 can be found using the Euclidean algorithm:

GCD(24, 16) = 8 LCM(24, 16) = (24 × 16) ÷ 8 = 192 ÷ 8 = 24

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