What is the Least Common Multiple of 14296 and 14307?

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 14296 and 14307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14296 and 14307, than apply into the LCM equation.

GCF(14296,14307) = 1
LCM(14296,14307) = ( 14296 × 14307) / 1
LCM(14296,14307) = 204532872 / 1
LCM(14296,14307) = 204532872

Least Common Multiple (LCM) of 14296 and 14307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14296 and 14307. First we will calculate the prime factors of 14296 and 14307.

Prime Factorization of 14296

Prime Factorization of 14307

Now multiplying the highest exponent prime factors to calculate the LCM of 14296 and 14307.

LCM(14296,14307) = 2³ × 1787¹ × 3¹ × 19¹ × 251¹
LCM(14296,14307) = 204532872