LCM of 8 and 24

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

What is the least common multiple of 8 and 24?

How to find the lcm of 8 and 24?

To find the lcm of 8 and 24, we first need to find the multiples of 8 and 24 and then choose the least common multiple that are dividable by 8 and 24.

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

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

Another method to find the least common multiple of 8 and 24 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 8 and 24, 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 24 = 2 x 2 x 2 x 3 = 2³ x 3
Prime factors to the highest power = 2³ x 3 = 24