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What is the Least Common Multiple of 34 and 35?


The Least Common Multiple (LCM) of 34 and 35 is the smallest positive number that is a multiple of both 34 and 35.

Here we will show you two different ways to figure out the Least Common Multiple of 34 and 35.

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 34 are:
2 x 17

The prime factor(s) of 35 are:
5 x 7

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

2 x 5 x 7 x 17

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 34 and 35 as follows:

1190


To find the Least Common Multiple of 34 and 35, you can also make a list of multiples of 34 and a list of multiples of 35.

Multiples of 34 would be 34, 68, 102, 136 and so on.

Multiples of 35 would be 35, 70, 105, 140 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 34 and 35. You will once again see that the answer will be:

1190

What is the Least Common
Multiple of 34 and 36?

Go here for the next Least Common Multiple on our list that we calculated.





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

Prime Factorization of 34

Prime Factorization of 35

Multiples of 34

Multiples of 35



 


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