Least Common Multiple (LCM) of 3, 7, and 13

What is the Least Common Multiple (LCM) of 3, 7, and 13? Here we will show you step-by-step how to find the Least Common Multiple of 3, 7, and 13.

Step 1) First we find and list the prime factors of 3, 7, and 13 (Prime Factorization):

Prime Factors of 3:
3

Prime Factors of 7:
7

Prime Factors of 13:
13

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:

3, 7, 13

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

3 x 7 x 13 = 273

That's it. The Least Common Multiple (LCM) of 3, 7, and 13 is 273.

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Least Common Multiple (LCM) of 3, 7, and 14
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Notes:
The Least Common Multiple of 3, 7, and 13 is the same as the Lowest Common Multiple of 3, 7, and 13 and the Smallest Common Multiple of 3, 7, and 13.