What is the Least Common Multiple of 94851 and 94857?

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 94851 and 94857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94851 and 94857, than apply into the LCM equation.

GCF(94851,94857) = 3
LCM(94851,94857) = ( 94851 × 94857) / 3
LCM(94851,94857) = 8997281307 / 3
LCM(94851,94857) = 2999093769

Least Common Multiple (LCM) of 94851 and 94857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94851 and 94857. First we will calculate the prime factors of 94851 and 94857.

Prime Factorization of 94851

Prime Factorization of 94857

Now multiplying the highest exponent prime factors to calculate the LCM of 94851 and 94857.

LCM(94851,94857) = 3⁴ × 1171¹ × 7¹ × 4517¹
LCM(94851,94857) = 2999093769