What is the Least Common Multiple of 84489 and 84501?

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 84501 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 84501, than apply into the LCM equation.

GCF(84489,84501) = 3
LCM(84489,84501) = ( 84489 × 84501) / 3
LCM(84489,84501) = 7139404989 / 3
LCM(84489,84501) = 2379801663

Least Common Multiple (LCM) of 84489 and 84501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84489 and 84501. First we will calculate the prime factors of 84489 and 84501.

Prime Factorization of 84489

Prime Factorization of 84501

Now multiplying the highest exponent prime factors to calculate the LCM of 84489 and 84501.

LCM(84489,84501) = 3² × 28163¹ × 41¹ × 229¹
LCM(84489,84501) = 2379801663