What is the Least Common Multiple of 90360 and 90375?

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 90360 and 90375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90360 and 90375, than apply into the LCM equation.

GCF(90360,90375) = 15
LCM(90360,90375) = ( 90360 × 90375) / 15
LCM(90360,90375) = 8166285000 / 15
LCM(90360,90375) = 544419000

Least Common Multiple (LCM) of 90360 and 90375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90360 and 90375. First we will calculate the prime factors of 90360 and 90375.

Prime Factorization of 90360

Prime Factorization of 90375

Now multiplying the highest exponent prime factors to calculate the LCM of 90360 and 90375.

LCM(90360,90375) = 2³ × 3² × 5³ × 251¹ × 241¹
LCM(90360,90375) = 544419000