What is the Least Common Multiple of 90375 and 90380?

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 90375 and 90380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90375 and 90380, than apply into the LCM equation.

GCF(90375,90380) = 5
LCM(90375,90380) = ( 90375 × 90380) / 5
LCM(90375,90380) = 8168092500 / 5
LCM(90375,90380) = 1633618500

Least Common Multiple (LCM) of 90375 and 90380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90375 and 90380. First we will calculate the prime factors of 90375 and 90380.

Prime Factorization of 90375

Prime Factorization of 90380

Now multiplying the highest exponent prime factors to calculate the LCM of 90375 and 90380.

LCM(90375,90380) = 3¹ × 5³ × 241¹ × 2² × 4519¹
LCM(90375,90380) = 1633618500