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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