What is the Least Common Multiple of 84423 and 84441?

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 84423 and 84441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84423 and 84441, than apply into the LCM equation.

GCF(84423,84441) = 3
LCM(84423,84441) = ( 84423 × 84441) / 3
LCM(84423,84441) = 7128762543 / 3
LCM(84423,84441) = 2376254181

Least Common Multiple (LCM) of 84423 and 84441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84423 and 84441. First we will calculate the prime factors of 84423 and 84441.

Prime Factorization of 84423

Prime Factorization of 84441

Now multiplying the highest exponent prime factors to calculate the LCM of 84423 and 84441.

LCM(84423,84441) = 3¹ × 107¹ × 263¹ × 7¹ × 4021¹
LCM(84423,84441) = 2376254181