What is the Least Common Multiple of 72108 and 72120?

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 72108 and 72120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72108 and 72120, than apply into the LCM equation.

GCF(72108,72120) = 12
LCM(72108,72120) = ( 72108 × 72120) / 12
LCM(72108,72120) = 5200428960 / 12
LCM(72108,72120) = 433369080

Least Common Multiple (LCM) of 72108 and 72120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72108 and 72120. First we will calculate the prime factors of 72108 and 72120.

Prime Factorization of 72108

Prime Factorization of 72120

Now multiplying the highest exponent prime factors to calculate the LCM of 72108 and 72120.

LCM(72108,72120) = 2³ × 3² × 2003¹ × 5¹ × 601¹
LCM(72108,72120) = 433369080