What is the Least Common Multiple of 24306 and 24321?

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 24306 and 24321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24306 and 24321, than apply into the LCM equation.

GCF(24306,24321) = 3
LCM(24306,24321) = ( 24306 × 24321) / 3
LCM(24306,24321) = 591146226 / 3
LCM(24306,24321) = 197048742

Least Common Multiple (LCM) of 24306 and 24321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24306 and 24321. First we will calculate the prime factors of 24306 and 24321.

Prime Factorization of 24306

Prime Factorization of 24321

Now multiplying the highest exponent prime factors to calculate the LCM of 24306 and 24321.

LCM(24306,24321) = 2¹ × 3¹ × 4051¹ × 11² × 67¹
LCM(24306,24321) = 197048742