What is the Least Common Multiple of 36582 and 36587?

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 36582 and 36587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36582 and 36587, than apply into the LCM equation.

GCF(36582,36587) = 1
LCM(36582,36587) = ( 36582 × 36587) / 1
LCM(36582,36587) = 1338425634 / 1
LCM(36582,36587) = 1338425634

Least Common Multiple (LCM) of 36582 and 36587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36582 and 36587. First we will calculate the prime factors of 36582 and 36587.

Prime Factorization of 36582

Prime Factorization of 36587

Now multiplying the highest exponent prime factors to calculate the LCM of 36582 and 36587.

LCM(36582,36587) = 2¹ × 3¹ × 7¹ × 13¹ × 67¹ × 36587¹
LCM(36582,36587) = 1338425634