What is the Least Common Multiple of 24594 and 24608?

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 24594 and 24608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24594 and 24608, than apply into the LCM equation.

GCF(24594,24608) = 2
LCM(24594,24608) = ( 24594 × 24608) / 2
LCM(24594,24608) = 605209152 / 2
LCM(24594,24608) = 302604576

Least Common Multiple (LCM) of 24594 and 24608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24594 and 24608. First we will calculate the prime factors of 24594 and 24608.

Prime Factorization of 24594

Prime Factorization of 24608

Now multiplying the highest exponent prime factors to calculate the LCM of 24594 and 24608.

LCM(24594,24608) = 2⁵ × 3¹ × 4099¹ × 769¹
LCM(24594,24608) = 302604576