What is the Least Common Multiple of 15585 and 15597?

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 15585 and 15597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15585 and 15597, than apply into the LCM equation.

GCF(15585,15597) = 3
LCM(15585,15597) = ( 15585 × 15597) / 3
LCM(15585,15597) = 243079245 / 3
LCM(15585,15597) = 81026415

Least Common Multiple (LCM) of 15585 and 15597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15585 and 15597. First we will calculate the prime factors of 15585 and 15597.

Prime Factorization of 15585

Prime Factorization of 15597

Now multiplying the highest exponent prime factors to calculate the LCM of 15585 and 15597.

LCM(15585,15597) = 3² × 5¹ × 1039¹ × 1733¹
LCM(15585,15597) = 81026415