What is the least common multiple of 77 and 45? (LCM of 77 and 45)?

What is the Least Common Multiple of 77 and 45?

The Least Common Multiple (LCM) of 77 and 45 is the smallest positive number that is a multiple of both 77 and 45.

Here we will show you two different ways to figure out the Least Common Multiple of 77 and 45.

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 77 are:
7 x 11

The prime factor(s) of 45 are:
3 x 3 x 5

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

3 x 3 x 5 x 7 x 11

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 77 and 45 as follows:

3465

To find the Least Common Multiple of 77 and 45, you can also make a list of multiples of 77 and a list of multiples of 45.

Multiples of 77 would be 77, 154, 231, 308 and so on.

Multiples of 45 would be 45, 90, 135, 180 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 77 and 45. You will once again see that the answer will be:

3465

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

Prime Factorization of 77

Prime Factorization of 45

Multiples of 77

Multiples of 45