What is the Least Common Multiple of 84325 and 84344?

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 84325 and 84344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84325 and 84344, than apply into the LCM equation.

GCF(84325,84344) = 1
LCM(84325,84344) = ( 84325 × 84344) / 1
LCM(84325,84344) = 7112307800 / 1
LCM(84325,84344) = 7112307800

Least Common Multiple (LCM) of 84325 and 84344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84325 and 84344. First we will calculate the prime factors of 84325 and 84344.

Prime Factorization of 84325

Prime Factorization of 84344

Now multiplying the highest exponent prime factors to calculate the LCM of 84325 and 84344.

LCM(84325,84344) = 5² × 3373¹ × 2³ × 13¹ × 811¹
LCM(84325,84344) = 7112307800