Least Common Multiple (LCM) of 9 and 28




What is the Least Common Multiple (LCM) of 9 and 28? Here we will show you step-by-step how to find the Least Common Multiple of 9 and 28.

Step 1) First we find and list the prime factors of 9 and 28 (Prime Factorization):

Prime Factors of 9:
3, 3

Prime Factors of 28:
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 either sets:

2, 2, 3, 3, 7

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

2 x 2 x 3 x 3 x 7 = 252

That's it. The Least Common Multiple (LCM) of 9 and 28 is 252.


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Least Common Multiple (LCM) of 9 and 29
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