What is the Least Common Multiple of 14310 and 14324?

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 14324 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 14324, than apply into the LCM equation.

GCF(14310,14324) = 2
LCM(14310,14324) = ( 14310 × 14324) / 2
LCM(14310,14324) = 204976440 / 2
LCM(14310,14324) = 102488220

Least Common Multiple (LCM) of 14310 and 14324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14310 and 14324. First we will calculate the prime factors of 14310 and 14324.

Prime Factorization of 14310

Prime Factorization of 14324

Now multiplying the highest exponent prime factors to calculate the LCM of 14310 and 14324.

LCM(14310,14324) = 2² × 3³ × 5¹ × 53¹ × 3581¹
LCM(14310,14324) = 102488220