What is the Least Common Multiple of 32589 and 32600?

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 32600 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 32600, than apply into the LCM equation.

GCF(32589,32600) = 1
LCM(32589,32600) = ( 32589 × 32600) / 1
LCM(32589,32600) = 1062401400 / 1
LCM(32589,32600) = 1062401400

Least Common Multiple (LCM) of 32589 and 32600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32589 and 32600. First we will calculate the prime factors of 32589 and 32600.

Prime Factorization of 32589

Prime Factorization of 32600

Now multiplying the highest exponent prime factors to calculate the LCM of 32589 and 32600.

LCM(32589,32600) = 3³ × 17¹ × 71¹ × 2³ × 5² × 163¹
LCM(32589,32600) = 1062401400