What is the Least Common Multiple of 60036 and 60054?

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 60036 and 60054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60036 and 60054, than apply into the LCM equation.

GCF(60036,60054) = 6
LCM(60036,60054) = ( 60036 × 60054) / 6
LCM(60036,60054) = 3605401944 / 6
LCM(60036,60054) = 600900324

Least Common Multiple (LCM) of 60036 and 60054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60036 and 60054. First we will calculate the prime factors of 60036 and 60054.

Prime Factorization of 60036

Prime Factorization of 60054

Now multiplying the highest exponent prime factors to calculate the LCM of 60036 and 60054.

LCM(60036,60054) = 2² × 3¹ × 5003¹ × 10009¹
LCM(60036,60054) = 600900324