What is the Least Common Multiple of 3582 and 3599?

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 3582 and 3599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3582 and 3599, than apply into the LCM equation.

GCF(3582,3599) = 1
LCM(3582,3599) = ( 3582 × 3599) / 1
LCM(3582,3599) = 12891618 / 1
LCM(3582,3599) = 12891618

Least Common Multiple (LCM) of 3582 and 3599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3582 and 3599. First we will calculate the prime factors of 3582 and 3599.

Prime Factorization of 3582

Prime Factorization of 3599

Now multiplying the highest exponent prime factors to calculate the LCM of 3582 and 3599.

LCM(3582,3599) = 2¹ × 3² × 199¹ × 59¹ × 61¹
LCM(3582,3599) = 12891618