What is the Least Common Multiple of 92304 and 92312?

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 92304 and 92312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92304 and 92312, than apply into the LCM equation.

GCF(92304,92312) = 8
LCM(92304,92312) = ( 92304 × 92312) / 8
LCM(92304,92312) = 8520766848 / 8
LCM(92304,92312) = 1065095856

Least Common Multiple (LCM) of 92304 and 92312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92304 and 92312. First we will calculate the prime factors of 92304 and 92312.

Prime Factorization of 92304

Prime Factorization of 92312

Now multiplying the highest exponent prime factors to calculate the LCM of 92304 and 92312.

LCM(92304,92312) = 2⁴ × 3² × 641¹ × 11¹ × 1049¹
LCM(92304,92312) = 1065095856