What is the Least Common Multiple of 92304 and 92308?

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 92308 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 92308, than apply into the LCM equation.

GCF(92304,92308) = 4
LCM(92304,92308) = ( 92304 × 92308) / 4
LCM(92304,92308) = 8520397632 / 4
LCM(92304,92308) = 2130099408

Least Common Multiple (LCM) of 92304 and 92308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92304 and 92308. First we will calculate the prime factors of 92304 and 92308.

Prime Factorization of 92304

Prime Factorization of 92308

Now multiplying the highest exponent prime factors to calculate the LCM of 92304 and 92308.

LCM(92304,92308) = 2⁴ × 3² × 641¹ × 47¹ × 491¹
LCM(92304,92308) = 2130099408