Question

If a number is 2^2 x 3^1 x 5^0 and b is 2^1 x 3^1 x 5^1 then lcm  of a, b is?

(a) 2^2 x 3^1 x 5^1

(b) 2^2 x 3^2 x 5^2

(c) 2^3 x 3^1 x 5^0

(d) 2^2 x 3^2 x 5^0

The question was asked during an interview.

This question is from Number Theory topic in division Number Theory and Cryptography of Discrete Mathematics

Answer 1

The correct option is (a) 2^2 x 3^1 x 5^1

Explanation: Lcm is the product of sets having highest exponent value among a and b.