What is the Least Common Multiple of 99870 and 99885?

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 99870 and 99885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99870 and 99885, than apply into the LCM equation.

GCF(99870,99885) = 15
LCM(99870,99885) = ( 99870 × 99885) / 15
LCM(99870,99885) = 9975514950 / 15
LCM(99870,99885) = 665034330

Least Common Multiple (LCM) of 99870 and 99885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99870 and 99885. First we will calculate the prime factors of 99870 and 99885.

Prime Factorization of 99870

Prime Factorization of 99885

Now multiplying the highest exponent prime factors to calculate the LCM of 99870 and 99885.

LCM(99870,99885) = 2¹ × 3¹ × 5¹ × 3329¹ × 6659¹
LCM(99870,99885) = 665034330