What is the Least Common Multiple of 36306 and 36321?

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 36306 and 36321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36306 and 36321, than apply into the LCM equation.

GCF(36306,36321) = 3
LCM(36306,36321) = ( 36306 × 36321) / 3
LCM(36306,36321) = 1318670226 / 3
LCM(36306,36321) = 439556742

Least Common Multiple (LCM) of 36306 and 36321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36306 and 36321. First we will calculate the prime factors of 36306 and 36321.

Prime Factorization of 36306

Prime Factorization of 36321

Now multiplying the highest exponent prime factors to calculate the LCM of 36306 and 36321.

LCM(36306,36321) = 2¹ × 3² × 2017¹ × 12107¹
LCM(36306,36321) = 439556742