What is the Least Common Multiple of 5584 and 5592?

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 5584 and 5592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5584 and 5592, than apply into the LCM equation.

GCF(5584,5592) = 8
LCM(5584,5592) = ( 5584 × 5592) / 8
LCM(5584,5592) = 31225728 / 8
LCM(5584,5592) = 3903216

Least Common Multiple (LCM) of 5584 and 5592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5592. First we will calculate the prime factors of 5584 and 5592.

Prime Factorization of 5584

Prime Factorization of 5592

Now multiplying the highest exponent prime factors to calculate the LCM of 5584 and 5592.

LCM(5584,5592) = 2⁴ × 349¹ × 3¹ × 233¹
LCM(5584,5592) = 3903216