What is the Least Common Multiple of 7584 and 7589?

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 7584 and 7589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7584 and 7589, than apply into the LCM equation.

GCF(7584,7589) = 1
LCM(7584,7589) = ( 7584 × 7589) / 1
LCM(7584,7589) = 57554976 / 1
LCM(7584,7589) = 57554976

Least Common Multiple (LCM) of 7584 and 7589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7584 and 7589. First we will calculate the prime factors of 7584 and 7589.

Prime Factorization of 7584

Prime Factorization of 7589

Now multiplying the highest exponent prime factors to calculate the LCM of 7584 and 7589.

LCM(7584,7589) = 2⁵ × 3¹ × 79¹ × 7589¹
LCM(7584,7589) = 57554976