What is the Least Common Multiple of 18582 and 18590?

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 18582 and 18590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18582 and 18590, than apply into the LCM equation.

GCF(18582,18590) = 2
LCM(18582,18590) = ( 18582 × 18590) / 2
LCM(18582,18590) = 345439380 / 2
LCM(18582,18590) = 172719690

Least Common Multiple (LCM) of 18582 and 18590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18582 and 18590. First we will calculate the prime factors of 18582 and 18590.

Prime Factorization of 18582

Prime Factorization of 18590

Now multiplying the highest exponent prime factors to calculate the LCM of 18582 and 18590.

LCM(18582,18590) = 2¹ × 3¹ × 19¹ × 163¹ × 5¹ × 11¹ × 13²
LCM(18582,18590) = 172719690