What is the Least Common Multiple of 24327 and 24345?

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 24327 and 24345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24327 and 24345, than apply into the LCM equation.

GCF(24327,24345) = 9
LCM(24327,24345) = ( 24327 × 24345) / 9
LCM(24327,24345) = 592240815 / 9
LCM(24327,24345) = 65804535

Least Common Multiple (LCM) of 24327 and 24345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24327 and 24345. First we will calculate the prime factors of 24327 and 24345.

Prime Factorization of 24327

Prime Factorization of 24345

Now multiplying the highest exponent prime factors to calculate the LCM of 24327 and 24345.

LCM(24327,24345) = 3³ × 17¹ × 53¹ × 5¹ × 541¹
LCM(24327,24345) = 65804535