What is the Least Common Multiple of 94395 and 94401?

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 94395 and 94401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94395 and 94401, than apply into the LCM equation.

GCF(94395,94401) = 3
LCM(94395,94401) = ( 94395 × 94401) / 3
LCM(94395,94401) = 8910982395 / 3
LCM(94395,94401) = 2970327465

Least Common Multiple (LCM) of 94395 and 94401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94395 and 94401. First we will calculate the prime factors of 94395 and 94401.

Prime Factorization of 94395

Prime Factorization of 94401

Now multiplying the highest exponent prime factors to calculate the LCM of 94395 and 94401.

LCM(94395,94401) = 3² × 5¹ × 7¹ × 29¹ × 31¹ × 17¹ × 617¹
LCM(94395,94401) = 2970327465