What is the Least Common Multiple of 92484 and 92500?

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 92484 and 92500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92484 and 92500, than apply into the LCM equation.

GCF(92484,92500) = 4
LCM(92484,92500) = ( 92484 × 92500) / 4
LCM(92484,92500) = 8554770000 / 4
LCM(92484,92500) = 2138692500

Least Common Multiple (LCM) of 92484 and 92500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92484 and 92500. First we will calculate the prime factors of 92484 and 92500.

Prime Factorization of 92484

Prime Factorization of 92500

Now multiplying the highest exponent prime factors to calculate the LCM of 92484 and 92500.

LCM(92484,92500) = 2² × 3² × 7¹ × 367¹ × 5⁴ × 37¹
LCM(92484,92500) = 2138692500