What is the Least Common Multiple of 24539 and 24547?

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 24539 and 24547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24539 and 24547, than apply into the LCM equation.

GCF(24539,24547) = 1
LCM(24539,24547) = ( 24539 × 24547) / 1
LCM(24539,24547) = 602358833 / 1
LCM(24539,24547) = 602358833

Least Common Multiple (LCM) of 24539 and 24547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24539 and 24547. First we will calculate the prime factors of 24539 and 24547.

Prime Factorization of 24539

Prime Factorization of 24547

Now multiplying the highest exponent prime factors to calculate the LCM of 24539 and 24547.

LCM(24539,24547) = 53¹ × 463¹ × 24547¹
LCM(24539,24547) = 602358833