What is the Least Common Multiple of 72450 and 72468?

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 72450 and 72468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72450 and 72468, than apply into the LCM equation.

GCF(72450,72468) = 18
LCM(72450,72468) = ( 72450 × 72468) / 18
LCM(72450,72468) = 5250306600 / 18
LCM(72450,72468) = 291683700

Least Common Multiple (LCM) of 72450 and 72468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72450 and 72468. First we will calculate the prime factors of 72450 and 72468.

Prime Factorization of 72450

Prime Factorization of 72468

Now multiplying the highest exponent prime factors to calculate the LCM of 72450 and 72468.

LCM(72450,72468) = 2² × 3³ × 5² × 7¹ × 23¹ × 11¹ × 61¹
LCM(72450,72468) = 291683700