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Question

The smallest number that is divisible by both 36 and 45 is

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Solution

Multiples of a number are always divisible by that number itself.

Few multiples of 3 are:
36×1=36
36×2=72
36×3=108
36×4=144
36×5=180

Few multiples of 6 are:
45×1=6
45×2=90
45×3=135
45×4=180
45×5=225

The smallest multiple that is divisible by both 36 and 45 is 180.

This is the LCM of 36 and 45.

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