What is the Least Common Multiple of 2424 and 2439?

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 2424 and 2439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2424 and 2439, than apply into the LCM equation.

GCF(2424,2439) = 3
LCM(2424,2439) = ( 2424 × 2439) / 3
LCM(2424,2439) = 5912136 / 3
LCM(2424,2439) = 1970712

Least Common Multiple (LCM) of 2424 and 2439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2424 and 2439. First we will calculate the prime factors of 2424 and 2439.

Prime Factorization of 2424

Prime Factorization of 2439

Now multiplying the highest exponent prime factors to calculate the LCM of 2424 and 2439.

LCM(2424,2439) = 2³ × 3² × 101¹ × 271¹
LCM(2424,2439) = 1970712