Least Common Multiple of 18, 30, and 64 (LCM of 18, 30, and 64)

Least Common Multiple (LCM) of 18, 30, and 64

What is the Least Common Multiple (LCM) of 18, 30, and 64? Here we will show you step-by-step how to find the Least Common Multiple of 18, 30, and 64.

Step 1) First we find and list the prime factors of 18, 30, and 64 (Prime Factorization):

Prime Factors of 18:
2, 3, 3

Prime Factors of 30:
2, 3, 5

Prime Factors of 64:
2, 2, 2, 2, 2, 2

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, 2, 2, 2, 3, 3, 5

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 2880

That's it. The Least Common Multiple (LCM) of 18, 30, and 64 is 2880.

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 18, 30, and 65
Here is the next set of numbers we found the Least Common Multiple for.