What is the Least Common Multiple of 60021 and 60036?

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 60021 and 60036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60021 and 60036, than apply into the LCM equation.

GCF(60021,60036) = 3
LCM(60021,60036) = ( 60021 × 60036) / 3
LCM(60021,60036) = 3603420756 / 3
LCM(60021,60036) = 1201140252

Least Common Multiple (LCM) of 60021 and 60036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60021 and 60036. First we will calculate the prime factors of 60021 and 60036.

Prime Factorization of 60021

Prime Factorization of 60036

Now multiplying the highest exponent prime factors to calculate the LCM of 60021 and 60036.

LCM(60021,60036) = 3⁵ × 13¹ × 19¹ × 2² × 5003¹
LCM(60021,60036) = 1201140252