What is the least common multiple of 46 and 70? (LCM of 46 and 70)?

What is the Least Common Multiple of 46 and 70?

The Least Common Multiple (LCM) of 46 and 70 is the smallest positive number that is a multiple of both 46 and 70.

Here we will show you two different ways to figure out the Least Common Multiple of 46 and 70.

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 46 are:
2 x 23

The prime factor(s) of 70 are:
2 x 5 x 7

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

2 x 5 x 7 x 23

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 46 and 70 as follows:

1610

To find the Least Common Multiple of 46 and 70, you can also make a list of multiples of 46 and a list of multiples of 70.

Multiples of 46 would be 46, 92, 138, 184 and so on.

Multiples of 70 would be 70, 140, 210, 280 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 46 and 70. You will once again see that the answer will be:

1610

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

Prime Factorization of 46

Prime Factorization of 70

Multiples of 46

Multiples of 70