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Express each number in terms of its prime factors.

72 = 2 x 2 x 2 x 3 x 3 = 23 x 32

168 = 2 x 2 x 2 x 3 x 7 = 23 x 3 x 7

The LCM is the product of the highest power of each prime factor.

The highest power of 2 is 23, of 3 is 32, of 7 is 7.

The LCM is therefore 23 x 32 x 7 = 8 x 9 x 7 = 504

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15y ago

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