What is the Least Common Multiple of 24579 and 24597?

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 24579 and 24597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24579 and 24597, than apply into the LCM equation.

GCF(24579,24597) = 9
LCM(24579,24597) = ( 24579 × 24597) / 9
LCM(24579,24597) = 604569663 / 9
LCM(24579,24597) = 67174407

Least Common Multiple (LCM) of 24579 and 24597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24579 and 24597. First we will calculate the prime factors of 24579 and 24597.

Prime Factorization of 24579

Prime Factorization of 24597

Now multiplying the highest exponent prime factors to calculate the LCM of 24579 and 24597.

LCM(24579,24597) = 3³ × 2731¹ × 911¹
LCM(24579,24597) = 67174407