What is the Least Common Multiple of 90444 and 90456?

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 90444 and 90456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90444 and 90456, than apply into the LCM equation.

GCF(90444,90456) = 12
LCM(90444,90456) = ( 90444 × 90456) / 12
LCM(90444,90456) = 8181202464 / 12
LCM(90444,90456) = 681766872

Least Common Multiple (LCM) of 90444 and 90456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90444 and 90456. First we will calculate the prime factors of 90444 and 90456.

Prime Factorization of 90444

Prime Factorization of 90456

Now multiplying the highest exponent prime factors to calculate the LCM of 90444 and 90456.

LCM(90444,90456) = 2³ × 3¹ × 7537¹ × 3769¹
LCM(90444,90456) = 681766872