What is the Least Common Multiple of 84894 and 84908?

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 84894 and 84908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84894 and 84908, than apply into the LCM equation.

GCF(84894,84908) = 2
LCM(84894,84908) = ( 84894 × 84908) / 2
LCM(84894,84908) = 7208179752 / 2
LCM(84894,84908) = 3604089876

Least Common Multiple (LCM) of 84894 and 84908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84894 and 84908. First we will calculate the prime factors of 84894 and 84908.

Prime Factorization of 84894

Prime Factorization of 84908

Now multiplying the highest exponent prime factors to calculate the LCM of 84894 and 84908.

LCM(84894,84908) = 2² × 3¹ × 14149¹ × 21227¹
LCM(84894,84908) = 3604089876