What is the Least Common Multiple of 67584 and 67589?

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 67584 and 67589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67584 and 67589, than apply into the LCM equation.

GCF(67584,67589) = 1
LCM(67584,67589) = ( 67584 × 67589) / 1
LCM(67584,67589) = 4567934976 / 1
LCM(67584,67589) = 4567934976

Least Common Multiple (LCM) of 67584 and 67589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67584 and 67589. First we will calculate the prime factors of 67584 and 67589.

Prime Factorization of 67584

Prime Factorization of 67589

Now multiplying the highest exponent prime factors to calculate the LCM of 67584 and 67589.

LCM(67584,67589) = 2¹¹ × 3¹ × 11¹ × 67589¹
LCM(67584,67589) = 4567934976