What is the Least Common Multiple of 15584 and 15595?

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 15595 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 15595, than apply into the LCM equation.

GCF(15584,15595) = 1
LCM(15584,15595) = ( 15584 × 15595) / 1
LCM(15584,15595) = 243032480 / 1
LCM(15584,15595) = 243032480

Least Common Multiple (LCM) of 15584 and 15595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15584 and 15595. First we will calculate the prime factors of 15584 and 15595.

Prime Factorization of 15584

Prime Factorization of 15595

Now multiplying the highest exponent prime factors to calculate the LCM of 15584 and 15595.

LCM(15584,15595) = 2⁵ × 487¹ × 5¹ × 3119¹
LCM(15584,15595) = 243032480