What is the Least Common Multiple of 85857 and 85877?

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 85857 and 85877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85857 and 85877, than apply into the LCM equation.

GCF(85857,85877) = 1
LCM(85857,85877) = ( 85857 × 85877) / 1
LCM(85857,85877) = 7373141589 / 1
LCM(85857,85877) = 7373141589

Least Common Multiple (LCM) of 85857 and 85877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85857 and 85877. First we will calculate the prime factors of 85857 and 85877.

Prime Factorization of 85857

Prime Factorization of 85877

Now multiplying the highest exponent prime factors to calculate the LCM of 85857 and 85877.

LCM(85857,85877) = 3¹ × 28619¹ × 11¹ × 37¹ × 211¹
LCM(85857,85877) = 7373141589