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Answered 2010-02-05 23:17:24

Determine the prime factors of both numbers.

35 = 5 x 7

100 = 2 x 2 x 5 x 5 = 22 x 52

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

The LCM of 35 and 100 is therefore, 22 x 52 x 7 = 4 x 25 x 7 = 700

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