What is the Least Common Multiple of 10589 and 10606?

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 10606 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 10606, than apply into the LCM equation.

GCF(10589,10606) = 1
LCM(10589,10606) = ( 10589 × 10606) / 1
LCM(10589,10606) = 112306934 / 1
LCM(10589,10606) = 112306934

Least Common Multiple (LCM) of 10589 and 10606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10589 and 10606. First we will calculate the prime factors of 10589 and 10606.

Prime Factorization of 10589

Prime Factorization of 10606

Now multiplying the highest exponent prime factors to calculate the LCM of 10589 and 10606.

LCM(10589,10606) = 10589¹ × 2¹ × 5303¹
LCM(10589,10606) = 112306934