What is the Least Common Multiple of 15365 and 15375?

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 15365 and 15375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15365 and 15375, than apply into the LCM equation.

GCF(15365,15375) = 5
LCM(15365,15375) = ( 15365 × 15375) / 5
LCM(15365,15375) = 236236875 / 5
LCM(15365,15375) = 47247375

Least Common Multiple (LCM) of 15365 and 15375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15365 and 15375. First we will calculate the prime factors of 15365 and 15375.

Prime Factorization of 15365

Prime Factorization of 15375

Now multiplying the highest exponent prime factors to calculate the LCM of 15365 and 15375.

LCM(15365,15375) = 5³ × 7¹ × 439¹ × 3¹ × 41¹
LCM(15365,15375) = 47247375