What is the Least Common Multiple of 24321 and 24339?

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 24321 and 24339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24321 and 24339, than apply into the LCM equation.

GCF(24321,24339) = 3
LCM(24321,24339) = ( 24321 × 24339) / 3
LCM(24321,24339) = 591948819 / 3
LCM(24321,24339) = 197316273

Least Common Multiple (LCM) of 24321 and 24339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24321 and 24339. First we will calculate the prime factors of 24321 and 24339.

Prime Factorization of 24321

Prime Factorization of 24339

Now multiplying the highest exponent prime factors to calculate the LCM of 24321 and 24339.

LCM(24321,24339) = 3¹ × 11² × 67¹ × 7¹ × 19¹ × 61¹
LCM(24321,24339) = 197316273