What is the Least Common Multiple of 72120 and 72140?

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 72120 and 72140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72120 and 72140, than apply into the LCM equation.

GCF(72120,72140) = 20
LCM(72120,72140) = ( 72120 × 72140) / 20
LCM(72120,72140) = 5202736800 / 20
LCM(72120,72140) = 260136840

Least Common Multiple (LCM) of 72120 and 72140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72120 and 72140. First we will calculate the prime factors of 72120 and 72140.

Prime Factorization of 72120

Prime Factorization of 72140

Now multiplying the highest exponent prime factors to calculate the LCM of 72120 and 72140.

LCM(72120,72140) = 2³ × 3¹ × 5¹ × 601¹ × 3607¹
LCM(72120,72140) = 260136840