What is the Least Common Multiple of 92184 and 92192?

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 92184 and 92192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92184 and 92192, than apply into the LCM equation.

GCF(92184,92192) = 8
LCM(92184,92192) = ( 92184 × 92192) / 8
LCM(92184,92192) = 8498627328 / 8
LCM(92184,92192) = 1062328416

Least Common Multiple (LCM) of 92184 and 92192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92184 and 92192. First we will calculate the prime factors of 92184 and 92192.

Prime Factorization of 92184

Prime Factorization of 92192

Now multiplying the highest exponent prime factors to calculate the LCM of 92184 and 92192.

LCM(92184,92192) = 2⁵ × 3¹ × 23¹ × 167¹ × 43¹ × 67¹
LCM(92184,92192) = 1062328416