What is the Least Common Multiple of 23184 and 23192?

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 23192 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 23192, than apply into the LCM equation.

GCF(23184,23192) = 8
LCM(23184,23192) = ( 23184 × 23192) / 8
LCM(23184,23192) = 537683328 / 8
LCM(23184,23192) = 67210416

Least Common Multiple (LCM) of 23184 and 23192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23184 and 23192. First we will calculate the prime factors of 23184 and 23192.

Prime Factorization of 23184

Prime Factorization of 23192

Now multiplying the highest exponent prime factors to calculate the LCM of 23184 and 23192.

LCM(23184,23192) = 2⁴ × 3² × 7¹ × 23¹ × 13¹ × 223¹
LCM(23184,23192) = 67210416