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Question

Let GCF(a, b) be the abbreviation for the greatest common factor of a and b, and let LCM(c, d) be the abbreviation for the least common multiple of c and d. What is GCF(LCM(8, 14), LCM(7, 12))?

Accepted Answer

The least common multiple of 8=2^3 and 14=2 7 is 2^3 7 = 56. The least common multiple of 7 and 12 is 7 12=84. The greatest common factor of 56=2^3 7 and 84=2^2 3 7 is 2^2 7=28.