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Mathematical Puzzles Expert 2 min

A positive integer is divisible by both 12 and 18. What is the smallest possible integer greater than 100?

Hint
Find the LCM of 12 and 18.

Answer

108.

Explanation

The least common multiple of 12 and 18 is 36. Multiples are 36, 72, 108, so 108 is the first one greater than 100.

Step-by-Step Solution

LCM(12,18)=36.
Multiples: 36,72,108.
Smallest greater than 100 = 108.
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