What is the Least Common Multiple of 10589 and 10601?

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 10601 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 10601, than apply into the LCM equation.

GCF(10589,10601) = 1
LCM(10589,10601) = ( 10589 × 10601) / 1
LCM(10589,10601) = 112253989 / 1
LCM(10589,10601) = 112253989

Least Common Multiple (LCM) of 10589 and 10601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10589 and 10601. First we will calculate the prime factors of 10589 and 10601.

Prime Factorization of 10589

Prime Factorization of 10601

Now multiplying the highest exponent prime factors to calculate the LCM of 10589 and 10601.

LCM(10589,10601) = 10589¹ × 10601¹
LCM(10589,10601) = 112253989