What is the Least Common Multiple of 12582 and 12587?

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 12582 and 12587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12582 and 12587, than apply into the LCM equation.

GCF(12582,12587) = 1
LCM(12582,12587) = ( 12582 × 12587) / 1
LCM(12582,12587) = 158369634 / 1
LCM(12582,12587) = 158369634

Least Common Multiple (LCM) of 12582 and 12587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12582 and 12587. First we will calculate the prime factors of 12582 and 12587.

Prime Factorization of 12582

Prime Factorization of 12587

Now multiplying the highest exponent prime factors to calculate the LCM of 12582 and 12587.

LCM(12582,12587) = 2¹ × 3³ × 233¹ × 41¹ × 307¹
LCM(12582,12587) = 158369634