What is the Least Common Multiple of 5584 and 5598?

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 5598 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 5598, than apply into the LCM equation.

GCF(5584,5598) = 2
LCM(5584,5598) = ( 5584 × 5598) / 2
LCM(5584,5598) = 31259232 / 2
LCM(5584,5598) = 15629616

Least Common Multiple (LCM) of 5584 and 5598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5598. First we will calculate the prime factors of 5584 and 5598.

Prime Factorization of 5584

Prime Factorization of 5598

Now multiplying the highest exponent prime factors to calculate the LCM of 5584 and 5598.

LCM(5584,5598) = 2⁴ × 349¹ × 3² × 311¹
LCM(5584,5598) = 15629616