What is the Least Common Multiple of 99891 and 99901?

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 99901 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 99901, than apply into the LCM equation.

GCF(99891,99901) = 1
LCM(99891,99901) = ( 99891 × 99901) / 1
LCM(99891,99901) = 9979210791 / 1
LCM(99891,99901) = 9979210791

Least Common Multiple (LCM) of 99891 and 99901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99891 and 99901. First we will calculate the prime factors of 99891 and 99901.

Prime Factorization of 99891

Prime Factorization of 99901

Now multiplying the highest exponent prime factors to calculate the LCM of 99891 and 99901.

LCM(99891,99901) = 3² × 11¹ × 1009¹ × 99901¹
LCM(99891,99901) = 9979210791