[ GCD and LCM. Mutual simplicity ]

Candies "Sweet Mathematics" are sold in boxes of 12, and candies "Geometry with Nuts" - in boxes of 15.

What is the smallest number of boxes of candies of both types that need to be bought so that there are an equal number of each type of candy?

#
$\operatorname{HOK}(12,15)=60$.

## Answer

5 boxes of "Sweet Mathematics" and 4 boxes of "Geometry with Nuts".

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