What is the Least Common Multiple of 10584 and 10604?

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 10584 and 10604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10584 and 10604, than apply into the LCM equation.

GCF(10584,10604) = 4
LCM(10584,10604) = ( 10584 × 10604) / 4
LCM(10584,10604) = 112232736 / 4
LCM(10584,10604) = 28058184

Least Common Multiple (LCM) of 10584 and 10604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10584 and 10604. First we will calculate the prime factors of 10584 and 10604.

Prime Factorization of 10584

Prime Factorization of 10604

Now multiplying the highest exponent prime factors to calculate the LCM of 10584 and 10604.

LCM(10584,10604) = 2³ × 3³ × 7² × 11¹ × 241¹
LCM(10584,10604) = 28058184