What is the Least Common Multiple of 15369 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 15369 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 15369 and 15375, than apply into the LCM equation.

GCF(15369,15375) = 3
LCM(15369,15375) = ( 15369 × 15375) / 3
LCM(15369,15375) = 236298375 / 3
LCM(15369,15375) = 78766125

Least Common Multiple (LCM) of 15369 and 15375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15369 and 15375. First we will calculate the prime factors of 15369 and 15375.

Prime Factorization of 15369

Prime Factorization of 15375

Now multiplying the highest exponent prime factors to calculate the LCM of 15369 and 15375.

LCM(15369,15375) = 3¹ × 47¹ × 109¹ × 5³ × 41¹
LCM(15369,15375) = 78766125