What is the Least Common Multiple of 10589 and 10605?

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 10589 and 10605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10589 and 10605, than apply into the LCM equation.

GCF(10589,10605) = 1
LCM(10589,10605) = ( 10589 × 10605) / 1
LCM(10589,10605) = 112296345 / 1
LCM(10589,10605) = 112296345

Least Common Multiple (LCM) of 10589 and 10605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10589 and 10605. First we will calculate the prime factors of 10589 and 10605.

Prime Factorization of 10589

Prime Factorization of 10605

Now multiplying the highest exponent prime factors to calculate the LCM of 10589 and 10605.

LCM(10589,10605) = 10589¹ × 3¹ × 5¹ × 7¹ × 101¹
LCM(10589,10605) = 112296345