What is the Least Common Multiple of 24585 and 24600?

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 24585 and 24600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24585 and 24600, than apply into the LCM equation.

GCF(24585,24600) = 15
LCM(24585,24600) = ( 24585 × 24600) / 15
LCM(24585,24600) = 604791000 / 15
LCM(24585,24600) = 40319400

Least Common Multiple (LCM) of 24585 and 24600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24585 and 24600. First we will calculate the prime factors of 24585 and 24600.

Prime Factorization of 24585

Prime Factorization of 24600

Now multiplying the highest exponent prime factors to calculate the LCM of 24585 and 24600.

LCM(24585,24600) = 3¹ × 5² × 11¹ × 149¹ × 2³ × 41¹
LCM(24585,24600) = 40319400