Question

If a and b are positive integers, what is the value of the product ab ? the least common multiple of a and b is 48. the greatest common factor of a and b is 4

Answer 1

A and b have the greatest common factor 4, so suppose a=4x, b=4y
the least common multiple of 4x and 4y is 4xy, and 4xy=48, so xy=12
ab=4x*4y=16xy=16*12=192

(the integers are either 4 and 48 or 12 and 16, but that's not what is being asked here.)