What is the Least Common Multiple of 15584 and 15602?

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 15602 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 15602, than apply into the LCM equation.

GCF(15584,15602) = 2
LCM(15584,15602) = ( 15584 × 15602) / 2
LCM(15584,15602) = 243141568 / 2
LCM(15584,15602) = 121570784

Least Common Multiple (LCM) of 15584 and 15602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15584 and 15602. First we will calculate the prime factors of 15584 and 15602.

Prime Factorization of 15584

Prime Factorization of 15602

Now multiplying the highest exponent prime factors to calculate the LCM of 15584 and 15602.

LCM(15584,15602) = 2⁵ × 487¹ × 29¹ × 269¹
LCM(15584,15602) = 121570784