What is the Least Common Multiple of 99279 and 99297?

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 99279 and 99297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99279 and 99297, than apply into the LCM equation.

GCF(99279,99297) = 9
LCM(99279,99297) = ( 99279 × 99297) / 9
LCM(99279,99297) = 9858106863 / 9
LCM(99279,99297) = 1095345207

Least Common Multiple (LCM) of 99279 and 99297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99279 and 99297. First we will calculate the prime factors of 99279 and 99297.

Prime Factorization of 99279

Prime Factorization of 99297

Now multiplying the highest exponent prime factors to calculate the LCM of 99279 and 99297.

LCM(99279,99297) = 3³ × 3677¹ × 11¹ × 17¹ × 59¹
LCM(99279,99297) = 1095345207