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9 April, 22:06

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

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  1. 10 April, 01:13
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    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.)
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