What is the Least Common Multiple of 90438 and 90444?

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 90438 and 90444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90438 and 90444, than apply into the LCM equation.

GCF(90438,90444) = 6
LCM(90438,90444) = ( 90438 × 90444) / 6
LCM(90438,90444) = 8179574472 / 6
LCM(90438,90444) = 1363262412

Least Common Multiple (LCM) of 90438 and 90444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90438 and 90444. First we will calculate the prime factors of 90438 and 90444.

Prime Factorization of 90438

Prime Factorization of 90444

Now multiplying the highest exponent prime factors to calculate the LCM of 90438 and 90444.

LCM(90438,90444) = 2² × 3¹ × 15073¹ × 7537¹
LCM(90438,90444) = 1363262412