What is the Least Common Multiple of 90856 and 90872?

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 90856 and 90872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90856 and 90872, than apply into the LCM equation.

GCF(90856,90872) = 8
LCM(90856,90872) = ( 90856 × 90872) / 8
LCM(90856,90872) = 8256266432 / 8
LCM(90856,90872) = 1032033304

Least Common Multiple (LCM) of 90856 and 90872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90856 and 90872. First we will calculate the prime factors of 90856 and 90872.

Prime Factorization of 90856

Prime Factorization of 90872

Now multiplying the highest exponent prime factors to calculate the LCM of 90856 and 90872.

LCM(90856,90872) = 2³ × 41¹ × 277¹ × 37¹ × 307¹
LCM(90856,90872) = 1032033304