What is the Least Common Multiple of 94388 and 94395?

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 94388 and 94395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94388 and 94395, than apply into the LCM equation.

GCF(94388,94395) = 7
LCM(94388,94395) = ( 94388 × 94395) / 7
LCM(94388,94395) = 8909755260 / 7
LCM(94388,94395) = 1272822180

Least Common Multiple (LCM) of 94388 and 94395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94388 and 94395. First we will calculate the prime factors of 94388 and 94395.

Prime Factorization of 94388

Prime Factorization of 94395

Now multiplying the highest exponent prime factors to calculate the LCM of 94388 and 94395.

LCM(94388,94395) = 2² × 7¹ × 3371¹ × 3¹ × 5¹ × 29¹ × 31¹
LCM(94388,94395) = 1272822180