What is the Least Common Multiple of 99261 and 99279?

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 99261 and 99279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99261 and 99279, than apply into the LCM equation.

GCF(99261,99279) = 9
LCM(99261,99279) = ( 99261 × 99279) / 9
LCM(99261,99279) = 9854532819 / 9
LCM(99261,99279) = 1094948091

Least Common Multiple (LCM) of 99261 and 99279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99261 and 99279. First we will calculate the prime factors of 99261 and 99279.

Prime Factorization of 99261

Prime Factorization of 99279

Now multiplying the highest exponent prime factors to calculate the LCM of 99261 and 99279.

LCM(99261,99279) = 3³ × 41¹ × 269¹ × 3677¹
LCM(99261,99279) = 1094948091