What is the Least Common Multiple of 92424 and 92439?

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 92424 and 92439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92424 and 92439, than apply into the LCM equation.

GCF(92424,92439) = 3
LCM(92424,92439) = ( 92424 × 92439) / 3
LCM(92424,92439) = 8543582136 / 3
LCM(92424,92439) = 2847860712

Least Common Multiple (LCM) of 92424 and 92439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92424 and 92439. First we will calculate the prime factors of 92424 and 92439.

Prime Factorization of 92424

Prime Factorization of 92439

Now multiplying the highest exponent prime factors to calculate the LCM of 92424 and 92439.

LCM(92424,92439) = 2³ × 3² × 3851¹ × 10271¹
LCM(92424,92439) = 2847860712