What is the Least Common Multiple of 45584 and 45589?

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 45584 and 45589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45584 and 45589, than apply into the LCM equation.

GCF(45584,45589) = 1
LCM(45584,45589) = ( 45584 × 45589) / 1
LCM(45584,45589) = 2078128976 / 1
LCM(45584,45589) = 2078128976

Least Common Multiple (LCM) of 45584 and 45589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45584 and 45589. First we will calculate the prime factors of 45584 and 45589.

Prime Factorization of 45584

Prime Factorization of 45589

Now multiplying the highest exponent prime factors to calculate the LCM of 45584 and 45589.

LCM(45584,45589) = 2⁴ × 7¹ × 11¹ × 37¹ × 45589¹
LCM(45584,45589) = 2078128976