What is the Least Common Multiple of 85928 and 85938?

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 85938 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 85938, than apply into the LCM equation.

GCF(85928,85938) = 2
LCM(85928,85938) = ( 85928 × 85938) / 2
LCM(85928,85938) = 7384480464 / 2
LCM(85928,85938) = 3692240232

Least Common Multiple (LCM) of 85928 and 85938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85928 and 85938. First we will calculate the prime factors of 85928 and 85938.

Prime Factorization of 85928

Prime Factorization of 85938

Now multiplying the highest exponent prime factors to calculate the LCM of 85928 and 85938.

LCM(85928,85938) = 2³ × 23¹ × 467¹ × 3¹ × 14323¹
LCM(85928,85938) = 3692240232