What is the Least Common Multiple of 60054 and 60072?

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 60054 and 60072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60054 and 60072, than apply into the LCM equation.

GCF(60054,60072) = 6
LCM(60054,60072) = ( 60054 × 60072) / 6
LCM(60054,60072) = 3607563888 / 6
LCM(60054,60072) = 601260648

Least Common Multiple (LCM) of 60054 and 60072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60054 and 60072. First we will calculate the prime factors of 60054 and 60072.

Prime Factorization of 60054

Prime Factorization of 60072

Now multiplying the highest exponent prime factors to calculate the LCM of 60054 and 60072.

LCM(60054,60072) = 2³ × 3¹ × 10009¹ × 2503¹
LCM(60054,60072) = 601260648