What is the Least Common Multiple of 94173 and 94186?

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 94173 and 94186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94173 and 94186, than apply into the LCM equation.

GCF(94173,94186) = 1
LCM(94173,94186) = ( 94173 × 94186) / 1
LCM(94173,94186) = 8869778178 / 1
LCM(94173,94186) = 8869778178

Least Common Multiple (LCM) of 94173 and 94186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94173 and 94186. First we will calculate the prime factors of 94173 and 94186.

Prime Factorization of 94173

Prime Factorization of 94186

Now multiplying the highest exponent prime factors to calculate the LCM of 94173 and 94186.

LCM(94173,94186) = 3¹ × 31391¹ × 2¹ × 47093¹
LCM(94173,94186) = 8869778178