What is the Least Common Multiple of 84489 and 84500?

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 84489 and 84500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84489 and 84500, than apply into the LCM equation.

GCF(84489,84500) = 1
LCM(84489,84500) = ( 84489 × 84500) / 1
LCM(84489,84500) = 7139320500 / 1
LCM(84489,84500) = 7139320500

Least Common Multiple (LCM) of 84489 and 84500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84489 and 84500. First we will calculate the prime factors of 84489 and 84500.

Prime Factorization of 84489

Prime Factorization of 84500

Now multiplying the highest exponent prime factors to calculate the LCM of 84489 and 84500.

LCM(84489,84500) = 3¹ × 28163¹ × 2² × 5³ × 13²
LCM(84489,84500) = 7139320500