Least Common Multiple of 24 and 64 (LCM of 24 and 64)

Least Common Multiple (LCM) of 24 and 64

What is the Least Common Multiple (LCM) of 24 and 64? Here we will show you step-by-step how to find the Least Common Multiple of 24 and 64.

Step 1) First we find and list the prime factors of 24 and 64 (Prime Factorization):

Prime Factors of 24:
2, 2, 2, 3

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 either sets:

2, 2, 2, 2, 2, 2, 3

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 = 192

That's it. The Least Common Multiple (LCM) of 24 and 64 is 192.

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Least Common Multiple (LCM) of 24 and 65
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