What is the least common multiple of 32 and 28? (LCM of 32 and 28)?

What is the Least Common Multiple of 32 and 28?

The Least Common Multiple (LCM) of 32 and 28 is the smallest positive number that is a multiple of both 32 and 28.

Here we will show you two different ways to figure out the Least Common Multiple of 32 and 28.

Our favorite way is to find the prime factors of each number and then merge them together to get the answer.

The prime factor(s) of 32 are:
2 x 2 x 2 x 2 x 2

The prime factor(s) of 28 are:
2 x 2 x 7

Merging them together using the least amount of factors, you get:

2 x 2 x 2 x 2 x 2 x 7

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 32 and 28 as follows:

224

To find the Least Common Multiple of 32 and 28, you can also make a list of multiples of 32 and a list of multiples of 28.

Multiples of 32 would be 32, 64, 96, 128 and so on.

Multiples of 28 would be 28, 56, 84, 112 and so on.

Now, compare the two lists to find the smallest number the two lists have in common, which is the Least Common Multiple of 32 and 28. You will once again see that the answer will be:

224

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What is the Least Common Multiple of 32 and 29?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 32

Prime Factorization of 28

Multiples of 32

Multiples of 28