What is the least common multiple of 74 and 19? (LCM of 74 and 19)?

What is the Least Common Multiple of 74 and 19?

The Least Common Multiple (LCM) of 74 and 19 is the smallest positive number that is a multiple of both 74 and 19.

Here we will show you two different ways to figure out the Least Common Multiple of 74 and 19.

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 74 are:
2 x 37

The prime factor(s) of 19 are:
1 x 19

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

2 x 19 x 37

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 74 and 19 as follows:

1406

To find the Least Common Multiple of 74 and 19, you can also make a list of multiples of 74 and a list of multiples of 19.

Multiples of 74 would be 74, 148, 222, 296 and so on.

Multiples of 19 would be 19, 38, 57, 76 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 74 and 19. You will once again see that the answer will be:

1406

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What is the Least Common Multiple of 74 and 20?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 74

Prime Factorization of 19

Multiples of 74

Multiples of 19