What is the Least Common Multiple of 72108 and 72123?

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 72123 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 72123, than apply into the LCM equation.

GCF(72108,72123) = 3
LCM(72108,72123) = ( 72108 × 72123) / 3
LCM(72108,72123) = 5200645284 / 3
LCM(72108,72123) = 1733548428

Least Common Multiple (LCM) of 72108 and 72123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72108 and 72123. First we will calculate the prime factors of 72108 and 72123.

Prime Factorization of 72108

Prime Factorization of 72123

Now multiplying the highest exponent prime factors to calculate the LCM of 72108 and 72123.

LCM(72108,72123) = 2² × 3² × 2003¹ × 29¹ × 829¹
LCM(72108,72123) = 1733548428