What is the Least Common Multiple of 7584 and 7599?

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 7599 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 7599, than apply into the LCM equation.

GCF(7584,7599) = 3
LCM(7584,7599) = ( 7584 × 7599) / 3
LCM(7584,7599) = 57630816 / 3
LCM(7584,7599) = 19210272

Least Common Multiple (LCM) of 7584 and 7599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7584 and 7599. First we will calculate the prime factors of 7584 and 7599.

Prime Factorization of 7584

Prime Factorization of 7599

Now multiplying the highest exponent prime factors to calculate the LCM of 7584 and 7599.

LCM(7584,7599) = 2⁵ × 3¹ × 79¹ × 17¹ × 149¹
LCM(7584,7599) = 19210272