What is the Least Common Multiple of 99855 and 99870?

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 99855 and 99870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99855 and 99870, than apply into the LCM equation.

GCF(99855,99870) = 15
LCM(99855,99870) = ( 99855 × 99870) / 15
LCM(99855,99870) = 9972518850 / 15
LCM(99855,99870) = 664834590

Least Common Multiple (LCM) of 99855 and 99870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99855 and 99870. First we will calculate the prime factors of 99855 and 99870.

Prime Factorization of 99855

Prime Factorization of 99870

Now multiplying the highest exponent prime factors to calculate the LCM of 99855 and 99870.

LCM(99855,99870) = 3² × 5¹ × 7¹ × 317¹ × 2¹ × 3329¹
LCM(99855,99870) = 664834590