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

Question

1 year ago

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the least possible value of $m n$?

1 answer:

Tasya [4] · Answer 1 · 2024-03-16T14:58:20+03:00

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

<h3>How to determine the least possible value of mn?</h3>

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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