LCM of 8 and 12

What is the LCM of 8 and 12? - The LCM of 8 and 12 is 24. Follow the step by step instructions on how to find the least common multiple of 8 and 12.

What is the least common multiple of 8 and 12?

How to find the lcm of 8 and 12?

To find the lcm of 8 and 12, we first need to find the multiples of 8 and 12 and then choose the least common multiple that are dividable by 8 and 12.

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

The least common multiple of 8 and 12 is 24, because 24 is the smallest number that is divisible by both 8 and 12.

Another method to find the least common multiple of 8 and 12 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 8 and 12, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 8 = 2 x 2 x 2 = 2³
Prime factorization of 12 = 2 x 2 x 3 = 2² x 3
Prime factors to the highest power = 2³ x 3 = 24