What is the Least Common Multiple of 3594 and 3606?

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 3594 and 3606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3594 and 3606, than apply into the LCM equation.

GCF(3594,3606) = 6
LCM(3594,3606) = ( 3594 × 3606) / 6
LCM(3594,3606) = 12959964 / 6
LCM(3594,3606) = 2159994

Least Common Multiple (LCM) of 3594 and 3606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3594 and 3606. First we will calculate the prime factors of 3594 and 3606.

Prime Factorization of 3594

Prime Factorization of 3606

Now multiplying the highest exponent prime factors to calculate the LCM of 3594 and 3606.

LCM(3594,3606) = 2¹ × 3¹ × 599¹ × 601¹
LCM(3594,3606) = 2159994