What is the least common multiple of 70 and 75? (LCM of 70 and 75)?

What is the Least Common Multiple of 70 and 75?

The Least Common Multiple (LCM) of 70 and 75 is the smallest positive number that is a multiple of both 70 and 75.

Here we will show you two different ways to figure out the Least Common Multiple of 70 and 75.

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 70 are:
2 x 5 x 7

The prime factor(s) of 75 are:
3 x 5 x 5

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

2 x 3 x 5 x 5 x 7

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 70 and 75 as follows:

1050

To find the Least Common Multiple of 70 and 75, you can also make a list of multiples of 70 and a list of multiples of 75.

Multiples of 70 would be 70, 140, 210, 280 and so on.

Multiples of 75 would be 75, 150, 225, 300 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 70 and 75. You will once again see that the answer will be:

1050

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What is the Least Common Multiple of 70 and 76?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 70

Prime Factorization of 75

Multiples of 70

Multiples of 75