What is the Least Common Multiple of 9375 and 9380?

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 9375 and 9380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9375 and 9380, than apply into the LCM equation.

GCF(9375,9380) = 5
LCM(9375,9380) = ( 9375 × 9380) / 5
LCM(9375,9380) = 87937500 / 5
LCM(9375,9380) = 17587500

Least Common Multiple (LCM) of 9375 and 9380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9375 and 9380. First we will calculate the prime factors of 9375 and 9380.

Prime Factorization of 9375

Prime Factorization of 9380

Now multiplying the highest exponent prime factors to calculate the LCM of 9375 and 9380.

LCM(9375,9380) = 3¹ × 5⁵ × 2² × 7¹ × 67¹
LCM(9375,9380) = 17587500