What is the Least Common Multiple of 15375 and 15390?

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 15375 and 15390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15375 and 15390, than apply into the LCM equation.

GCF(15375,15390) = 15
LCM(15375,15390) = ( 15375 × 15390) / 15
LCM(15375,15390) = 236621250 / 15
LCM(15375,15390) = 15774750

Least Common Multiple (LCM) of 15375 and 15390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15375 and 15390. First we will calculate the prime factors of 15375 and 15390.

Prime Factorization of 15375

Prime Factorization of 15390

Now multiplying the highest exponent prime factors to calculate the LCM of 15375 and 15390.

LCM(15375,15390) = 3⁴ × 5³ × 41¹ × 2¹ × 19¹
LCM(15375,15390) = 15774750