Question

DAY 4: What is the smallest five digit number that is exactly divisible by72 and
108?
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Answer 1

Let us find the LCM of 72 and 108, first

72 = 2x2x2x3x3

108 = 2x2x3x3x3

LCM is 2x2x2x3x3x3 = 216.

Next divide 10000 by 216 to get 46.296.

So the smallest five digit number divisible by 72 and 108 is 47*216 = 10152.