Question

what is the lcm of 15 and 12? 120 45 180 60

Explanation:

Step1: Prime Factorize 15 and 12

Prime factorization of \( 15 = 3 \times 5 \) and \( 12 = 2^2 \times 3 \).

Step2: Identify Highest Powers

For each prime factor, take the highest power: \( 2^2 \), \( 3^1 \), \( 5^1 \).

Step3: Calculate LCM

Multiply these highest powers: \( 2^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60 \).

Answer:

60 (corresponding to the option with "60")