LCM of 6 and 8

What is the LCM of 6 and 8? - The LCM of 6 and 8 is 24. Follow the step by step instructions on how to find the least common multiple of 6 and 8.

What is the least common multiple of 6 and 8?

How to find the lcm of 6 and 8?

To find the lcm of 6 and 8, we first need to find the multiples of 6 and 8 and then choose the least common multiple that are dividable by 6 and 8.

Multiples of 6 = 6, 12, 18, 24
Multiples of 8 = 8, 16, 24

The least common multiple of 6 and 8 is 24, because 24 is the smallest number that is divisible by both 6 and 8.

Another method to find the least common multiple of 6 and 8 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 6 and 8, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 6 = 2 x 3
Prime factorization of 8 = 2 x 2 x 2 = 2³
Prime factors to the highest power = 2³ x 3 = 24