What is the Least Common Multiple of 14268 and 14286?

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 14268 and 14286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14268 and 14286, than apply into the LCM equation.

GCF(14268,14286) = 6
LCM(14268,14286) = ( 14268 × 14286) / 6
LCM(14268,14286) = 203832648 / 6
LCM(14268,14286) = 33972108

Least Common Multiple (LCM) of 14268 and 14286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14268 and 14286. First we will calculate the prime factors of 14268 and 14286.

Prime Factorization of 14268

Prime Factorization of 14286

Now multiplying the highest exponent prime factors to calculate the LCM of 14268 and 14286.

LCM(14268,14286) = 2² × 3¹ × 29¹ × 41¹ × 2381¹
LCM(14268,14286) = 33972108