What is the Least Common Multiple of 99981 and 99999?

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 99981 and 99999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99981 and 99999, than apply into the LCM equation.

GCF(99981,99999) = 9
LCM(99981,99999) = ( 99981 × 99999) / 9
LCM(99981,99999) = 9998000019 / 9
LCM(99981,99999) = 1110888891

Least Common Multiple (LCM) of 99981 and 99999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99981 and 99999. First we will calculate the prime factors of 99981 and 99999.

Prime Factorization of 99981

Prime Factorization of 99999

Now multiplying the highest exponent prime factors to calculate the LCM of 99981 and 99999.

LCM(99981,99999) = 3³ × 7¹ × 23² × 41¹ × 271¹
LCM(99981,99999) = 1110888891