What is the Least Common Multiple of 90850 and 90856?

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 90850 and 90856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90850 and 90856, than apply into the LCM equation.

GCF(90850,90856) = 2
LCM(90850,90856) = ( 90850 × 90856) / 2
LCM(90850,90856) = 8254267600 / 2
LCM(90850,90856) = 4127133800

Least Common Multiple (LCM) of 90850 and 90856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90850 and 90856. First we will calculate the prime factors of 90850 and 90856.

Prime Factorization of 90850

Prime Factorization of 90856

Now multiplying the highest exponent prime factors to calculate the LCM of 90850 and 90856.

LCM(90850,90856) = 2³ × 5² × 23¹ × 79¹ × 41¹ × 277¹
LCM(90850,90856) = 4127133800