What is the Least Common Multiple of 60120 and 60132?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60120 and 60132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60120 and 60132, than apply into the LCM equation.

GCF(60120,60132) = 12
LCM(60120,60132) = ( 60120 × 60132) / 12
LCM(60120,60132) = 3615135840 / 12
LCM(60120,60132) = 301261320

Least Common Multiple (LCM) of 60120 and 60132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60120 and 60132. First we will calculate the prime factors of 60120 and 60132.

Prime Factorization of 60120

Prime Factorization of 60132

Now multiplying the highest exponent prime factors to calculate the LCM of 60120 and 60132.

LCM(60120,60132) = 2³ × 3² × 5¹ × 167¹ × 5011¹
LCM(60120,60132) = 301261320