What is the Least Common Multiple of 72108 and 72126?

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 72126 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 72126, than apply into the LCM equation.

GCF(72108,72126) = 18
LCM(72108,72126) = ( 72108 × 72126) / 18
LCM(72108,72126) = 5200861608 / 18
LCM(72108,72126) = 288936756

Least Common Multiple (LCM) of 72108 and 72126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72108 and 72126. First we will calculate the prime factors of 72108 and 72126.

Prime Factorization of 72108

Prime Factorization of 72126

Now multiplying the highest exponent prime factors to calculate the LCM of 72108 and 72126.

LCM(72108,72126) = 2² × 3² × 2003¹ × 4007¹
LCM(72108,72126) = 288936756