What is the Least Common Multiple of 94356 and 94375?

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 94356 and 94375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94356 and 94375, than apply into the LCM equation.

GCF(94356,94375) = 1
LCM(94356,94375) = ( 94356 × 94375) / 1
LCM(94356,94375) = 8904847500 / 1
LCM(94356,94375) = 8904847500

Least Common Multiple (LCM) of 94356 and 94375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94356 and 94375. First we will calculate the prime factors of 94356 and 94375.

Prime Factorization of 94356

Prime Factorization of 94375

Now multiplying the highest exponent prime factors to calculate the LCM of 94356 and 94375.

LCM(94356,94375) = 2² × 3² × 2621¹ × 5⁴ × 151¹
LCM(94356,94375) = 8904847500