What is the Least Common Multiple of 94312 and 94332?

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 94312 and 94332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94312 and 94332, than apply into the LCM equation.

GCF(94312,94332) = 4
LCM(94312,94332) = ( 94312 × 94332) / 4
LCM(94312,94332) = 8896639584 / 4
LCM(94312,94332) = 2224159896

Least Common Multiple (LCM) of 94312 and 94332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94312 and 94332. First we will calculate the prime factors of 94312 and 94332.

Prime Factorization of 94312

Prime Factorization of 94332

Now multiplying the highest exponent prime factors to calculate the LCM of 94312 and 94332.

LCM(94312,94332) = 2³ × 11789¹ × 3¹ × 7¹ × 1123¹
LCM(94312,94332) = 2224159896