What is the Least Common Multiple of 7584 and 7593?

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 7593 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 7593, than apply into the LCM equation.

GCF(7584,7593) = 3
LCM(7584,7593) = ( 7584 × 7593) / 3
LCM(7584,7593) = 57585312 / 3
LCM(7584,7593) = 19195104

Least Common Multiple (LCM) of 7584 and 7593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7584 and 7593. First we will calculate the prime factors of 7584 and 7593.

Prime Factorization of 7584

Prime Factorization of 7593

Now multiplying the highest exponent prime factors to calculate the LCM of 7584 and 7593.

LCM(7584,7593) = 2⁵ × 3¹ × 79¹ × 2531¹
LCM(7584,7593) = 19195104