What is the Least Common Multiple of 3584 and 3589?

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 3584 and 3589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3584 and 3589, than apply into the LCM equation.

GCF(3584,3589) = 1
LCM(3584,3589) = ( 3584 × 3589) / 1
LCM(3584,3589) = 12862976 / 1
LCM(3584,3589) = 12862976

Least Common Multiple (LCM) of 3584 and 3589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3584 and 3589. First we will calculate the prime factors of 3584 and 3589.

Prime Factorization of 3584

Prime Factorization of 3589

Now multiplying the highest exponent prime factors to calculate the LCM of 3584 and 3589.

LCM(3584,3589) = 2⁹ × 7¹ × 37¹ × 97¹
LCM(3584,3589) = 12862976