What is the Least Common Multiple of 95184 and 95192?

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 95184 and 95192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95184 and 95192, than apply into the LCM equation.

GCF(95184,95192) = 8
LCM(95184,95192) = ( 95184 × 95192) / 8
LCM(95184,95192) = 9060755328 / 8
LCM(95184,95192) = 1132594416

Least Common Multiple (LCM) of 95184 and 95192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95184 and 95192. First we will calculate the prime factors of 95184 and 95192.

Prime Factorization of 95184

Prime Factorization of 95192

Now multiplying the highest exponent prime factors to calculate the LCM of 95184 and 95192.

LCM(95184,95192) = 2⁴ × 3² × 661¹ × 73¹ × 163¹
LCM(95184,95192) = 1132594416