What is the least common multiple of 53 and 85? (LCM of 53 and 85)?

What is the Least Common Multiple of 53 and 85?

The Least Common Multiple (LCM) of 53 and 85 is the smallest positive number that is a multiple of both 53 and 85.

Here we will show you two different ways to figure out the Least Common Multiple of 53 and 85.

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 53 are:
1 x 53

The prime factor(s) of 85 are:
5 x 17

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

5 x 17 x 53

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 53 and 85 as follows:

4505

To find the Least Common Multiple of 53 and 85, you can also make a list of multiples of 53 and a list of multiples of 85.

Multiples of 53 would be 53, 106, 159, 212 and so on.

Multiples of 85 would be 85, 170, 255, 340 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 53 and 85. You will once again see that the answer will be:

4505

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What is the Least Common Multiple of 53 and 86?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 53

Prime Factorization of 85

Multiples of 53

Multiples of 85