Prime Factorization

Express each number as a product of its prime factors: $12 = 2^2 \times 3^1$, $15 = 3^1 \times 5^1$, and $20 = 2^2 \times 5^1$.

$12=2^2 \times 3, \quad 15=3 \times 5, \quad 20=2^2 \times 5$

Apply LCM rule

Identify the highest power of each prime factor present in the factorization: $2^2$, $3^1$, and $5^1$.

$LCM = 2^2 \times 3^1 \times 5^1$

Final Calculation

Multiply the identified factors to get the result: $4 \times 3 \times 5 = 60$.

$LCM = 4 \times 3 \times 5 = 60$