What is the Least Common Multiple of 24589 and 24599?

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 24589 and 24599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24589 and 24599, than apply into the LCM equation.

GCF(24589,24599) = 1
LCM(24589,24599) = ( 24589 × 24599) / 1
LCM(24589,24599) = 604864811 / 1
LCM(24589,24599) = 604864811

Least Common Multiple (LCM) of 24589 and 24599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24589 and 24599. First we will calculate the prime factors of 24589 and 24599.

Prime Factorization of 24589

Prime Factorization of 24599

Now multiplying the highest exponent prime factors to calculate the LCM of 24589 and 24599.

LCM(24589,24599) = 67¹ × 367¹ × 17¹ × 1447¹
LCM(24589,24599) = 604864811