What is the Least Common Multiple of 61584 and 61589?

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 61584 and 61589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61584 and 61589, than apply into the LCM equation.

GCF(61584,61589) = 1
LCM(61584,61589) = ( 61584 × 61589) / 1
LCM(61584,61589) = 3792896976 / 1
LCM(61584,61589) = 3792896976

Least Common Multiple (LCM) of 61584 and 61589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61584 and 61589. First we will calculate the prime factors of 61584 and 61589.

Prime Factorization of 61584

Prime Factorization of 61589

Now multiplying the highest exponent prime factors to calculate the LCM of 61584 and 61589.

LCM(61584,61589) = 2⁴ × 3¹ × 1283¹ × 11² × 509¹
LCM(61584,61589) = 3792896976