What is the Least Common Multiple of 9184 and 9191?

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 9184 and 9191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9184 and 9191, than apply into the LCM equation.

GCF(9184,9191) = 7
LCM(9184,9191) = ( 9184 × 9191) / 7
LCM(9184,9191) = 84410144 / 7
LCM(9184,9191) = 12058592

Least Common Multiple (LCM) of 9184 and 9191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9184 and 9191. First we will calculate the prime factors of 9184 and 9191.

Prime Factorization of 9184

Prime Factorization of 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 9184 and 9191.

LCM(9184,9191) = 2⁵ × 7¹ × 41¹ × 13¹ × 101¹
LCM(9184,9191) = 12058592