What is the Least Common Multiple of 84894 and 84898?

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 84898 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 84898, than apply into the LCM equation.

GCF(84894,84898) = 2
LCM(84894,84898) = ( 84894 × 84898) / 2
LCM(84894,84898) = 7207330812 / 2
LCM(84894,84898) = 3603665406

Least Common Multiple (LCM) of 84894 and 84898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84894 and 84898. First we will calculate the prime factors of 84894 and 84898.

Prime Factorization of 84894

Prime Factorization of 84898

Now multiplying the highest exponent prime factors to calculate the LCM of 84894 and 84898.

LCM(84894,84898) = 2¹ × 3¹ × 14149¹ × 11¹ × 17¹ × 227¹
LCM(84894,84898) = 3603665406