What is the Least Common Multiple of 85910 and 85928?

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 85910 and 85928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85910 and 85928, than apply into the LCM equation.

GCF(85910,85928) = 2
LCM(85910,85928) = ( 85910 × 85928) / 2
LCM(85910,85928) = 7382074480 / 2
LCM(85910,85928) = 3691037240

Least Common Multiple (LCM) of 85910 and 85928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85910 and 85928. First we will calculate the prime factors of 85910 and 85928.

Prime Factorization of 85910

Prime Factorization of 85928

Now multiplying the highest exponent prime factors to calculate the LCM of 85910 and 85928.

LCM(85910,85928) = 2³ × 5¹ × 11² × 71¹ × 23¹ × 467¹
LCM(85910,85928) = 3691037240