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Method of Finding LCM

If a is an od...

Question

If a is an odd number, b is not divisible by 3 and LCM of a and b is p. What is the LCM of 3a and 2b ?

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Solution

LCM of 3a and 2b will be 6p.

Since a is odd, it is not divisible by 2(so we need to multiply 2(from 2b) with the lcm of a and b.)
And since b is not divisible by 3, we need to multiply 3(from 3a) with the lcm of a and b.

So LCM of 3a and 2b = 2×3×(lcm of a and b) = 6p

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