What is the Least Common Multiple of 15574 and 15584?

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 15574 and 15584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15574 and 15584, than apply into the LCM equation.

GCF(15574,15584) = 2
LCM(15574,15584) = ( 15574 × 15584) / 2
LCM(15574,15584) = 242705216 / 2
LCM(15574,15584) = 121352608

Least Common Multiple (LCM) of 15574 and 15584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15574 and 15584. First we will calculate the prime factors of 15574 and 15584.

Prime Factorization of 15574

Prime Factorization of 15584

Now multiplying the highest exponent prime factors to calculate the LCM of 15574 and 15584.

LCM(15574,15584) = 2⁵ × 13¹ × 599¹ × 487¹
LCM(15574,15584) = 121352608