What is the Least Common Multiple of 41424 and 41439?

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 41424 and 41439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41424 and 41439, than apply into the LCM equation.

GCF(41424,41439) = 3
LCM(41424,41439) = ( 41424 × 41439) / 3
LCM(41424,41439) = 1716569136 / 3
LCM(41424,41439) = 572189712

Least Common Multiple (LCM) of 41424 and 41439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41424 and 41439. First we will calculate the prime factors of 41424 and 41439.

Prime Factorization of 41424

Prime Factorization of 41439

Now multiplying the highest exponent prime factors to calculate the LCM of 41424 and 41439.

LCM(41424,41439) = 2⁴ × 3¹ × 863¹ × 19¹ × 727¹
LCM(41424,41439) = 572189712