What is the Least Common Multiple of 15584 and 15590?

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 15590 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 15590, than apply into the LCM equation.

GCF(15584,15590) = 2
LCM(15584,15590) = ( 15584 × 15590) / 2
LCM(15584,15590) = 242954560 / 2
LCM(15584,15590) = 121477280

Least Common Multiple (LCM) of 15584 and 15590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15584 and 15590. First we will calculate the prime factors of 15584 and 15590.

Prime Factorization of 15584

Prime Factorization of 15590

Now multiplying the highest exponent prime factors to calculate the LCM of 15584 and 15590.

LCM(15584,15590) = 2⁵ × 487¹ × 5¹ × 1559¹
LCM(15584,15590) = 121477280