What is the Least Common Multiple of 94314 and 94323?

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 94314 and 94323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94314 and 94323, than apply into the LCM equation.

GCF(94314,94323) = 3
LCM(94314,94323) = ( 94314 × 94323) / 3
LCM(94314,94323) = 8895979422 / 3
LCM(94314,94323) = 2965326474

Least Common Multiple (LCM) of 94314 and 94323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94314 and 94323. First we will calculate the prime factors of 94314 and 94323.

Prime Factorization of 94314

Prime Factorization of 94323

Now multiplying the highest exponent prime factors to calculate the LCM of 94314 and 94323.

LCM(94314,94323) = 2¹ × 3¹ × 11¹ × 1429¹ × 23¹ × 1367¹
LCM(94314,94323) = 2965326474