What is the Least Common Multiple of 15584 and 15603?

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 15584 and 15603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15584 and 15603, than apply into the LCM equation.

GCF(15584,15603) = 1
LCM(15584,15603) = ( 15584 × 15603) / 1
LCM(15584,15603) = 243157152 / 1
LCM(15584,15603) = 243157152

Least Common Multiple (LCM) of 15584 and 15603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15584 and 15603. First we will calculate the prime factors of 15584 and 15603.

Prime Factorization of 15584

Prime Factorization of 15603

Now multiplying the highest exponent prime factors to calculate the LCM of 15584 and 15603.

LCM(15584,15603) = 2⁵ × 487¹ × 3¹ × 7¹ × 743¹
LCM(15584,15603) = 243157152