What is the Least Common Multiple of 84806 and 84810?

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 84806 and 84810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84806 and 84810, than apply into the LCM equation.

GCF(84806,84810) = 2
LCM(84806,84810) = ( 84806 × 84810) / 2
LCM(84806,84810) = 7192396860 / 2
LCM(84806,84810) = 3596198430

Least Common Multiple (LCM) of 84806 and 84810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84806 and 84810. First we will calculate the prime factors of 84806 and 84810.

Prime Factorization of 84806

Prime Factorization of 84810

Now multiplying the highest exponent prime factors to calculate the LCM of 84806 and 84810.

LCM(84806,84810) = 2¹ × 42403¹ × 3¹ × 5¹ × 11¹ × 257¹
LCM(84806,84810) = 3596198430