Question 1

Why does LCM use GCD?

Accepted Answer

The relationship lcm(a,b) × gcd(a,b) = |a × b| connects them directly, allowing LCM to be computed without enumerating multiples.

Question 2

Does LCM allow zeros?

Accepted Answer

LCM(0,b) is typically defined as 0 in many conventions, because every multiple of 0 is divisible by 0, and the smallest common multiple is 0. Specific definitions can vary, so check your context.

Question 3

What if inputs are negative?

Accepted Answer

LCM is usually reported as a non-negative value. The absolute value in the formula handles sign consistently.

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