Never, it will always be negative, regardless the numbers.
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Multiplying positive numbers will result in a positive number.
When one of them divides evenly into the product with no remainder and the result is the other number.
When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.
If you divide the product of two given numbers by their GCF, the result will be their LCM.
In any number pair where one of the numbers is a multiple of the other, that number is the LCM.