What is the Least Common Multiple of 91839 and 91857?

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 91839 and 91857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91839 and 91857, than apply into the LCM equation.

GCF(91839,91857) = 3
LCM(91839,91857) = ( 91839 × 91857) / 3
LCM(91839,91857) = 8436055023 / 3
LCM(91839,91857) = 2812018341

Least Common Multiple (LCM) of 91839 and 91857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91839 and 91857. First we will calculate the prime factors of 91839 and 91857.

Prime Factorization of 91839

Prime Factorization of 91857

Now multiplying the highest exponent prime factors to calculate the LCM of 91839 and 91857.

LCM(91839,91857) = 3¹ × 11³ × 23¹ × 67¹ × 457¹
LCM(91839,91857) = 2812018341