What is the least common multiple of 32 and 42? (LCM of 32 and 42)?

What is the Least Common Multiple of 32 and 42?

The Least Common Multiple (LCM) of 32 and 42 is the smallest positive number that is a multiple of both 32 and 42.

Here we will show you two different ways to figure out the Least Common Multiple of 32 and 42.

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 42 are:
2 x 3 x 7

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

2 x 2 x 2 x 2 x 2 x 3 x 7

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 32 and 42 as follows:

672

To find the Least Common Multiple of 32 and 42, you can also make a list of multiples of 32 and a list of multiples of 42.

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

Multiples of 42 would be 42, 84, 126, 168 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 42. You will once again see that the answer will be:

672

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What is the Least Common Multiple of 32 and 43?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 32

Prime Factorization of 42

Multiples of 32

Multiples of 42