What is the Least Common Multiple of 5584 and 5603?

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 5603 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 5603, than apply into the LCM equation.

GCF(5584,5603) = 1
LCM(5584,5603) = ( 5584 × 5603) / 1
LCM(5584,5603) = 31287152 / 1
LCM(5584,5603) = 31287152

Least Common Multiple (LCM) of 5584 and 5603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5603. First we will calculate the prime factors of 5584 and 5603.

Prime Factorization of 5584

Prime Factorization of 5603

Now multiplying the highest exponent prime factors to calculate the LCM of 5584 and 5603.

LCM(5584,5603) = 2⁴ × 349¹ × 13¹ × 431¹
LCM(5584,5603) = 31287152