What is the Least Common Multiple of 85928 and 85946?

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 85928 and 85946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85928 and 85946, than apply into the LCM equation.

GCF(85928,85946) = 2
LCM(85928,85946) = ( 85928 × 85946) / 2
LCM(85928,85946) = 7385167888 / 2
LCM(85928,85946) = 3692583944

Least Common Multiple (LCM) of 85928 and 85946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85928 and 85946. First we will calculate the prime factors of 85928 and 85946.

Prime Factorization of 85928

Prime Factorization of 85946

Now multiplying the highest exponent prime factors to calculate the LCM of 85928 and 85946.

LCM(85928,85946) = 2³ × 23¹ × 467¹ × 7² × 877¹
LCM(85928,85946) = 3692583944