What is the Least Common Multiple of 72021 and 72036?

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 72021 and 72036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72021 and 72036, than apply into the LCM equation.

GCF(72021,72036) = 3
LCM(72021,72036) = ( 72021 × 72036) / 3
LCM(72021,72036) = 5188104756 / 3
LCM(72021,72036) = 1729368252

Least Common Multiple (LCM) of 72021 and 72036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72021 and 72036. First we will calculate the prime factors of 72021 and 72036.

Prime Factorization of 72021

Prime Factorization of 72036

Now multiplying the highest exponent prime factors to calculate the LCM of 72021 and 72036.

LCM(72021,72036) = 3³ × 24007¹ × 2² × 23¹ × 29¹
LCM(72021,72036) = 1729368252