What is the Least Common Multiple of 95891 and 95908?

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 95891 and 95908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95891 and 95908, than apply into the LCM equation.

GCF(95891,95908) = 1
LCM(95891,95908) = ( 95891 × 95908) / 1
LCM(95891,95908) = 9196714028 / 1
LCM(95891,95908) = 9196714028

Least Common Multiple (LCM) of 95891 and 95908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95891 and 95908. First we will calculate the prime factors of 95891 and 95908.

Prime Factorization of 95891

Prime Factorization of 95908

Now multiplying the highest exponent prime factors to calculate the LCM of 95891 and 95908.

LCM(95891,95908) = 95891¹ × 2² × 23977¹
LCM(95891,95908) = 9196714028