Least Common Multiple of 34, 39, and 56 (LCM of 34, 39, and 56)

Least Common Multiple (LCM) of 34, 39, and 56

What is the Least Common Multiple (LCM) of 34, 39, and 56? Here we will show you step-by-step how to find the Least Common Multiple of 34, 39, and 56.

Step 1) First we find and list the prime factors of 34, 39, and 56 (Prime Factorization):

Prime Factors of 34:
2, 17

Prime Factors of 39:
3, 13

Prime Factors of 56:
2, 2, 2, 7

Step 2) Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in any of the sets:

2, 2, 2, 3, 7, 13, 17

Step 3) Finally, we multiply the prime numbers from Step 2 together.

2 x 2 x 2 x 3 x 7 x 13 x 17 = 37128

That's it. The Least Common Multiple (LCM) of 34, 39, and 56 is 37128.

Least Common Multiple Calculator
Please enter another two or three numbers below so we can calculate the Least Common Multiple (LCM) for you:

Least Common Multiple (LCM) of 34, 39, and 57
Here is the next set of numbers we found the Least Common Multiple for.