What is the Least Common Multiple of 94296 and 94311?

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 94296 and 94311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94296 and 94311, than apply into the LCM equation.

GCF(94296,94311) = 3
LCM(94296,94311) = ( 94296 × 94311) / 3
LCM(94296,94311) = 8893150056 / 3
LCM(94296,94311) = 2964383352

Least Common Multiple (LCM) of 94296 and 94311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94296 and 94311. First we will calculate the prime factors of 94296 and 94311.

Prime Factorization of 94296

Prime Factorization of 94311

Now multiplying the highest exponent prime factors to calculate the LCM of 94296 and 94311.

LCM(94296,94311) = 2³ × 3³ × 3929¹ × 7¹ × 499¹
LCM(94296,94311) = 2964383352