What is the Least Common Multiple of 96291 and 96297?

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 96291 and 96297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96291 and 96297, than apply into the LCM equation.

GCF(96291,96297) = 3
LCM(96291,96297) = ( 96291 × 96297) / 3
LCM(96291,96297) = 9272534427 / 3
LCM(96291,96297) = 3090844809

Least Common Multiple (LCM) of 96291 and 96297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96291 and 96297. First we will calculate the prime factors of 96291 and 96297.

Prime Factorization of 96291

Prime Factorization of 96297

Now multiplying the highest exponent prime factors to calculate the LCM of 96291 and 96297.

LCM(96291,96297) = 3² × 13¹ × 823¹ × 32099¹
LCM(96291,96297) = 3090844809