LCM of 24 and 28

What is the LCM of 24 and 28? - The LCM of 24 and 28 is 168. Follow the step by step instructions on how to find the least common multiple of 24 and 28.

What is the least common multiple of 24 and 28?

How to find the lcm of 24 and 28?

To find the lcm of 24 and 28, we first need to find the multiples of 24 and 28 and then choose the least common multiple that are dividable by 24 and 28.

Multiples of 24 = 24, 48, 72, 96, 120, 144, 168
Multiples of 28 = 28, 56, 84, 112, 140, 168

The least common multiple of 24 and 28 is 168, because 168 is the smallest number that is divisible by both 24 and 28.

Another method to find the least common multiple of 24 and 28 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 24 and 28, 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 28 = 2 x 2 x 7 = 2² x 7
Prime factors to the highest power = 2³ x 3 x 7 = 168