What is the Least Common Multiple of 23184 and 23191?

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 23184 and 23191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23184 and 23191, than apply into the LCM equation.

GCF(23184,23191) = 7
LCM(23184,23191) = ( 23184 × 23191) / 7
LCM(23184,23191) = 537660144 / 7
LCM(23184,23191) = 76808592

Least Common Multiple (LCM) of 23184 and 23191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23184 and 23191. First we will calculate the prime factors of 23184 and 23191.

Prime Factorization of 23184

Prime Factorization of 23191

Now multiplying the highest exponent prime factors to calculate the LCM of 23184 and 23191.

LCM(23184,23191) = 2⁴ × 3² × 7¹ × 23¹ × 3313¹
LCM(23184,23191) = 76808592