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the greatest common divisor of positive integers $m$ and $n$ is $8$. the least common multiple of $m$ and $n$ is $112$. what is the least possible value of $m n$?

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MrRoyal

Given the greatest common divisor and the least common multiple, the least possible value of mn is 896

How to determine the least possible value of mn?

The given parameters are:

M and N are positive integers

Greatest common divisor =  8

Least common multiple = 112

As a general rule;

The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers

This means that

mn = Greatest common divisor * Least common multiple

So, we have

mn = 8 * 112

Evaluate

mn = 896

Hence, the least possible value of mn is 896

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