What is the Least Common Multiple of 84852 and 84867?

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 84852 and 84867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84852 and 84867, than apply into the LCM equation.

GCF(84852,84867) = 3
LCM(84852,84867) = ( 84852 × 84867) / 3
LCM(84852,84867) = 7201134684 / 3
LCM(84852,84867) = 2400378228

Least Common Multiple (LCM) of 84852 and 84867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84852 and 84867. First we will calculate the prime factors of 84852 and 84867.

Prime Factorization of 84852

Prime Factorization of 84867

Now multiplying the highest exponent prime factors to calculate the LCM of 84852 and 84867.

LCM(84852,84867) = 2² × 3² × 2357¹ × 28289¹
LCM(84852,84867) = 2400378228