What is the Least Common Multiple of 24264 and 24275?

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 24264 and 24275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24264 and 24275, than apply into the LCM equation.

GCF(24264,24275) = 1
LCM(24264,24275) = ( 24264 × 24275) / 1
LCM(24264,24275) = 589008600 / 1
LCM(24264,24275) = 589008600

Least Common Multiple (LCM) of 24264 and 24275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24264 and 24275. First we will calculate the prime factors of 24264 and 24275.

Prime Factorization of 24264

Prime Factorization of 24275

Now multiplying the highest exponent prime factors to calculate the LCM of 24264 and 24275.

LCM(24264,24275) = 2³ × 3² × 337¹ × 5² × 971¹
LCM(24264,24275) = 589008600