What is the Least Common Multiple of 84573 and 84591?

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 84573 and 84591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84573 and 84591, than apply into the LCM equation.

GCF(84573,84591) = 9
LCM(84573,84591) = ( 84573 × 84591) / 9
LCM(84573,84591) = 7154114643 / 9
LCM(84573,84591) = 794901627

Least Common Multiple (LCM) of 84573 and 84591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84573 and 84591. First we will calculate the prime factors of 84573 and 84591.

Prime Factorization of 84573

Prime Factorization of 84591

Now multiplying the highest exponent prime factors to calculate the LCM of 84573 and 84591.

LCM(84573,84591) = 3³ × 9397¹ × 13¹ × 241¹
LCM(84573,84591) = 794901627