LCM of 24 and 40

What is the LCM of 24 and 40? - The LCM of 24 and 40 is 120. Follow the step by step instructions on how to find the least common multiple of 24 and 40.

What is the least common multiple of 24 and 40?

How to find the lcm of 24 and 40?

To find the lcm of 24 and 40, we first need to find the multiples of 24 and 40 and then choose the least common multiple that are dividable by 24 and 40.

Multiples of 24 = 24, 48, 72, 96, 120
Multiples of 40 = 40, 80, 120

The least common multiple of 24 and 40 is 120, because 120 is the smallest number that is divisible by both 24 and 40.

Another method to find the least common multiple of 24 and 40 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 24 and 40, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 24 = 2 x 2 x 2 x 3 = 2³ x 3
Prime factorization of 40 = 2 x 2 x 2 x 5 = 2³ x 5
Prime factors to the highest power = 2³ x 3 x 5 = 120