What is the Least Common Multiple of 72108 and 72127?

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 72127 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 72127, than apply into the LCM equation.

GCF(72108,72127) = 1
LCM(72108,72127) = ( 72108 × 72127) / 1
LCM(72108,72127) = 5200933716 / 1
LCM(72108,72127) = 5200933716

Least Common Multiple (LCM) of 72108 and 72127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72108 and 72127. First we will calculate the prime factors of 72108 and 72127.

Prime Factorization of 72108

Prime Factorization of 72127

Now multiplying the highest exponent prime factors to calculate the LCM of 72108 and 72127.

LCM(72108,72127) = 2² × 3² × 2003¹ × 11¹ × 79¹ × 83¹
LCM(72108,72127) = 5200933716