What is the Least Common Multiple of 99891 and 99909?

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 99891 and 99909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99891 and 99909, than apply into the LCM equation.

GCF(99891,99909) = 9
LCM(99891,99909) = ( 99891 × 99909) / 9
LCM(99891,99909) = 9980009919 / 9
LCM(99891,99909) = 1108889991

Least Common Multiple (LCM) of 99891 and 99909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99891 and 99909. First we will calculate the prime factors of 99891 and 99909.

Prime Factorization of 99891

Prime Factorization of 99909

Now multiplying the highest exponent prime factors to calculate the LCM of 99891 and 99909.

LCM(99891,99909) = 3² × 11¹ × 1009¹ × 17¹ × 653¹
LCM(99891,99909) = 1108889991