What is the Least Common Multiple of 9291 and 9297?

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 9291 and 9297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9291 and 9297, than apply into the LCM equation.

GCF(9291,9297) = 3
LCM(9291,9297) = ( 9291 × 9297) / 3
LCM(9291,9297) = 86378427 / 3
LCM(9291,9297) = 28792809

Least Common Multiple (LCM) of 9291 and 9297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9291 and 9297. First we will calculate the prime factors of 9291 and 9297.

Prime Factorization of 9291

Prime Factorization of 9297

Now multiplying the highest exponent prime factors to calculate the LCM of 9291 and 9297.

LCM(9291,9297) = 3² × 19¹ × 163¹ × 1033¹
LCM(9291,9297) = 28792809