What is the Least Common Multiple of 15578 and 15587?

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 15578 and 15587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15578 and 15587, than apply into the LCM equation.

GCF(15578,15587) = 1
LCM(15578,15587) = ( 15578 × 15587) / 1
LCM(15578,15587) = 242814286 / 1
LCM(15578,15587) = 242814286

Least Common Multiple (LCM) of 15578 and 15587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15578 and 15587. First we will calculate the prime factors of 15578 and 15587.

Prime Factorization of 15578

Prime Factorization of 15587

Now multiplying the highest exponent prime factors to calculate the LCM of 15578 and 15587.

LCM(15578,15587) = 2¹ × 7789¹ × 11¹ × 13¹ × 109¹
LCM(15578,15587) = 242814286