The LCM of two different numbers is 18, and the GCF is 6. What are the numbers?

Question

Joe Walker · Accepted Answer

The numbers themselves are 6 and 18.
Explanation:
If the LCM of the two numbers is 18, that means both numbers have to be factors of 18. So each number could be 1, 2, 3, 6, 9, or 18.
If the GCF of the two numbers is 6, that means both numbers are divisible by 6. So each number could be 6, 12, 18, 24, ... etc.
When we overlap these two restrictions, we see that the only values common to both sets are 6 and 18. So our possible pairs are (6, 6), (6, 18), or (18, 18).
Only one of these pairs has both an LCM of 18 and a GCF of 6. That pair is (6, 18). So, this is our answer.

Kaylie Carroll · Accepted Answer

18=2×3×3and 6=2×3 would do.They must have the &#039; factors 2×3=6 in common.

The LCM of two different numbers is 18, and the

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