What is the Least Common Multiple of 9366 and 9375?

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 9366 and 9375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9366 and 9375, than apply into the LCM equation.

GCF(9366,9375) = 3
LCM(9366,9375) = ( 9366 × 9375) / 3
LCM(9366,9375) = 87806250 / 3
LCM(9366,9375) = 29268750

Least Common Multiple (LCM) of 9366 and 9375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9366 and 9375. First we will calculate the prime factors of 9366 and 9375.

Prime Factorization of 9366

Prime Factorization of 9375

Now multiplying the highest exponent prime factors to calculate the LCM of 9366 and 9375.

LCM(9366,9375) = 2¹ × 3¹ × 7¹ × 223¹ × 5⁵
LCM(9366,9375) = 29268750