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30 and 40

Factors of 30 are 1, 2, 3, 10, 15, and 30.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The GCF of 30 and 40 is 10.

Multiples of 30 are 30, 60, 90, 120, ...
Multiples of 40 are 40, 80, 120, ...

The LCM of 30 and 40 is 120.

or

Write the prime factorization.

30 = 2 x 3 x 5
40 = 23 x 5

The common prime factors are 2 and 5, so that the GCF of 30 and 40 is 2 x 5 = 10.
The greatest power of both numbers are 23, 3, and 5, so the LCM of 30 and 40 is 23 x 3 x 5 = 120.

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Q: Find the pair of numbers whose gcf equals 10 the LCM is 120?
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