What is the Least Common Multiple of 36600 and 36606?

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 36600 and 36606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36600 and 36606, than apply into the LCM equation.

GCF(36600,36606) = 6
LCM(36600,36606) = ( 36600 × 36606) / 6
LCM(36600,36606) = 1339779600 / 6
LCM(36600,36606) = 223296600

Least Common Multiple (LCM) of 36600 and 36606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36600 and 36606. First we will calculate the prime factors of 36600 and 36606.

Prime Factorization of 36600

Prime Factorization of 36606

Now multiplying the highest exponent prime factors to calculate the LCM of 36600 and 36606.

LCM(36600,36606) = 2³ × 3¹ × 5² × 61¹ × 6101¹
LCM(36600,36606) = 223296600