What is the Least Common Multiple of 32589 and 32606?

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 32589 and 32606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32589 and 32606, than apply into the LCM equation.

GCF(32589,32606) = 17
LCM(32589,32606) = ( 32589 × 32606) / 17
LCM(32589,32606) = 1062596934 / 17
LCM(32589,32606) = 62505702

Least Common Multiple (LCM) of 32589 and 32606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32589 and 32606. First we will calculate the prime factors of 32589 and 32606.

Prime Factorization of 32589

Prime Factorization of 32606

Now multiplying the highest exponent prime factors to calculate the LCM of 32589 and 32606.

LCM(32589,32606) = 3³ × 17¹ × 71¹ × 2¹ × 7¹ × 137¹
LCM(32589,32606) = 62505702