What is the Least Common Multiple of 94188 and 94194?

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 94188 and 94194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94188 and 94194, than apply into the LCM equation.

GCF(94188,94194) = 6
LCM(94188,94194) = ( 94188 × 94194) / 6
LCM(94188,94194) = 8871944472 / 6
LCM(94188,94194) = 1478657412

Least Common Multiple (LCM) of 94188 and 94194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94188 and 94194. First we will calculate the prime factors of 94188 and 94194.

Prime Factorization of 94188

Prime Factorization of 94194

Now multiplying the highest exponent prime factors to calculate the LCM of 94188 and 94194.

LCM(94188,94194) = 2² × 3² × 47¹ × 167¹ × 5233¹
LCM(94188,94194) = 1478657412