What is the Least Common Multiple of 94851 and 94859?

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 94859 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 94859, than apply into the LCM equation.

GCF(94851,94859) = 1
LCM(94851,94859) = ( 94851 × 94859) / 1
LCM(94851,94859) = 8997471009 / 1
LCM(94851,94859) = 8997471009

Least Common Multiple (LCM) of 94851 and 94859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94851 and 94859. First we will calculate the prime factors of 94851 and 94859.

Prime Factorization of 94851

Prime Factorization of 94859

Now multiplying the highest exponent prime factors to calculate the LCM of 94851 and 94859.

LCM(94851,94859) = 3⁴ × 1171¹ × 29¹ × 3271¹
LCM(94851,94859) = 8997471009