What is the Least Common Multiple of 6306 and 6321?

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 6306 and 6321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6306 and 6321, than apply into the LCM equation.

GCF(6306,6321) = 3
LCM(6306,6321) = ( 6306 × 6321) / 3
LCM(6306,6321) = 39860226 / 3
LCM(6306,6321) = 13286742

Least Common Multiple (LCM) of 6306 and 6321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6306 and 6321. First we will calculate the prime factors of 6306 and 6321.

Prime Factorization of 6306

Prime Factorization of 6321

Now multiplying the highest exponent prime factors to calculate the LCM of 6306 and 6321.

LCM(6306,6321) = 2¹ × 3¹ × 1051¹ × 7² × 43¹
LCM(6306,6321) = 13286742