What is the Least Common Multiple of 92304 and 92311?

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 92311 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 92311, than apply into the LCM equation.

GCF(92304,92311) = 1
LCM(92304,92311) = ( 92304 × 92311) / 1
LCM(92304,92311) = 8520674544 / 1
LCM(92304,92311) = 8520674544

Least Common Multiple (LCM) of 92304 and 92311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92304 and 92311. First we will calculate the prime factors of 92304 and 92311.

Prime Factorization of 92304

Prime Factorization of 92311

Now multiplying the highest exponent prime factors to calculate the LCM of 92304 and 92311.

LCM(92304,92311) = 2⁴ × 3² × 641¹ × 92311¹
LCM(92304,92311) = 8520674544