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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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What is the lowest common multiple of 54 and 72?
216
Lowest common multiple of 18 and 24?
72 is the answer.
