What is the least common multiple of 69 and 52? (LCM of 69 and 52)?

What is the Least Common Multiple of 69 and 52?

The Least Common Multiple (LCM) of 69 and 52 is the smallest positive number that is a multiple of both 69 and 52.

Here we will show you two different ways to figure out the Least Common Multiple of 69 and 52.

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 69 are:
3 x 23

The prime factor(s) of 52 are:
2 x 2 x 13

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

2 x 2 x 3 x 13 x 23

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 69 and 52 as follows:

3588

To find the Least Common Multiple of 69 and 52, you can also make a list of multiples of 69 and a list of multiples of 52.

Multiples of 69 would be 69, 138, 207, 276 and so on.

Multiples of 52 would be 52, 104, 156, 208 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 69 and 52. You will once again see that the answer will be:

3588

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

Prime Factorization of 69

Prime Factorization of 52

Multiples of 69

Multiples of 52