What is the Least Common Multiple of 10575 and 10589?

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 10575 and 10589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10575 and 10589, than apply into the LCM equation.

GCF(10575,10589) = 1
LCM(10575,10589) = ( 10575 × 10589) / 1
LCM(10575,10589) = 111978675 / 1
LCM(10575,10589) = 111978675

Least Common Multiple (LCM) of 10575 and 10589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10575 and 10589. First we will calculate the prime factors of 10575 and 10589.

Prime Factorization of 10575

Prime Factorization of 10589

Now multiplying the highest exponent prime factors to calculate the LCM of 10575 and 10589.

LCM(10575,10589) = 3² × 5² × 47¹ × 10589¹
LCM(10575,10589) = 111978675