What is the Least Common Multiple of 9297 and 9309?

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 9297 and 9309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9297 and 9309, than apply into the LCM equation.

GCF(9297,9309) = 3
LCM(9297,9309) = ( 9297 × 9309) / 3
LCM(9297,9309) = 86545773 / 3
LCM(9297,9309) = 28848591

Least Common Multiple (LCM) of 9297 and 9309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9297 and 9309. First we will calculate the prime factors of 9297 and 9309.

Prime Factorization of 9297

Prime Factorization of 9309

Now multiplying the highest exponent prime factors to calculate the LCM of 9297 and 9309.

LCM(9297,9309) = 3² × 1033¹ × 29¹ × 107¹
LCM(9297,9309) = 28848591