What is the least common multiple of 34 and 36? (LCM of 34 and 36)?

What is the Least Common Multiple of 34 and 36?

The Least Common Multiple (LCM) of 34 and 36 is the smallest positive number that is a multiple of both 34 and 36.

Here we will show you two different ways to figure out the Least Common Multiple of 34 and 36.

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 34 are:
2 x 17

The prime factor(s) of 36 are:
2 x 2 x 3 x 3

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

2 x 2 x 3 x 3 x 17

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 34 and 36 as follows:

612

To find the Least Common Multiple of 34 and 36, you can also make a list of multiples of 34 and a list of multiples of 36.

Multiples of 34 would be 34, 68, 102, 136 and so on.

Multiples of 36 would be 36, 72, 108, 144 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 34 and 36. You will once again see that the answer will be:

612

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We used used the following sources to solve the problem on this page:

Prime Factorization of 34

Prime Factorization of 36

Multiples of 34

Multiples of 36