What is the Least Common Multiple of 14310 and 14321?

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 14310 and 14321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14310 and 14321, than apply into the LCM equation.

GCF(14310,14321) = 1
LCM(14310,14321) = ( 14310 × 14321) / 1
LCM(14310,14321) = 204933510 / 1
LCM(14310,14321) = 204933510

Least Common Multiple (LCM) of 14310 and 14321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14310 and 14321. First we will calculate the prime factors of 14310 and 14321.

Prime Factorization of 14310

Prime Factorization of 14321

Now multiplying the highest exponent prime factors to calculate the LCM of 14310 and 14321.

LCM(14310,14321) = 2¹ × 3³ × 5¹ × 53¹ × 14321¹
LCM(14310,14321) = 204933510