What is the Least Common Multiple of 94392 and 94407?

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 94392 and 94407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94392 and 94407, than apply into the LCM equation.

GCF(94392,94407) = 3
LCM(94392,94407) = ( 94392 × 94407) / 3
LCM(94392,94407) = 8911265544 / 3
LCM(94392,94407) = 2970421848

Least Common Multiple (LCM) of 94392 and 94407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94392 and 94407. First we will calculate the prime factors of 94392 and 94407.

Prime Factorization of 94392

Prime Factorization of 94407

Now multiplying the highest exponent prime factors to calculate the LCM of 94392 and 94407.

LCM(94392,94407) = 2³ × 3³ × 19¹ × 23¹ × 31469¹
LCM(94392,94407) = 2970421848