What is the Least Common Multiple of 24600 and 24615?

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 24600 and 24615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24600 and 24615, than apply into the LCM equation.

GCF(24600,24615) = 15
LCM(24600,24615) = ( 24600 × 24615) / 15
LCM(24600,24615) = 605529000 / 15
LCM(24600,24615) = 40368600

Least Common Multiple (LCM) of 24600 and 24615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24600 and 24615. First we will calculate the prime factors of 24600 and 24615.

Prime Factorization of 24600

Prime Factorization of 24615

Now multiplying the highest exponent prime factors to calculate the LCM of 24600 and 24615.

LCM(24600,24615) = 2³ × 3² × 5² × 41¹ × 547¹
LCM(24600,24615) = 40368600