What is the Least Common Multiple of 72120 and 72128?

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 72128 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 72128, than apply into the LCM equation.

GCF(72120,72128) = 8
LCM(72120,72128) = ( 72120 × 72128) / 8
LCM(72120,72128) = 5201871360 / 8
LCM(72120,72128) = 650233920

Least Common Multiple (LCM) of 72120 and 72128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72120 and 72128. First we will calculate the prime factors of 72120 and 72128.

Prime Factorization of 72120

Prime Factorization of 72128

Now multiplying the highest exponent prime factors to calculate the LCM of 72120 and 72128.

LCM(72120,72128) = 2⁶ × 3¹ × 5¹ × 601¹ × 7² × 23¹
LCM(72120,72128) = 650233920