What is the Least Common Multiple of 24574 and 24589?

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 24574 and 24589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24574 and 24589, than apply into the LCM equation.

GCF(24574,24589) = 1
LCM(24574,24589) = ( 24574 × 24589) / 1
LCM(24574,24589) = 604250086 / 1
LCM(24574,24589) = 604250086

Least Common Multiple (LCM) of 24574 and 24589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24574 and 24589. First we will calculate the prime factors of 24574 and 24589.

Prime Factorization of 24574

Prime Factorization of 24589

Now multiplying the highest exponent prime factors to calculate the LCM of 24574 and 24589.

LCM(24574,24589) = 2¹ × 11¹ × 1117¹ × 67¹ × 367¹
LCM(24574,24589) = 604250086