What is the Least Common Multiple of 14297 and 14306?

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 14297 and 14306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14297 and 14306, than apply into the LCM equation.

GCF(14297,14306) = 1
LCM(14297,14306) = ( 14297 × 14306) / 1
LCM(14297,14306) = 204532882 / 1
LCM(14297,14306) = 204532882

Least Common Multiple (LCM) of 14297 and 14306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14297 and 14306. First we will calculate the prime factors of 14297 and 14306.

Prime Factorization of 14297

Prime Factorization of 14306

Now multiplying the highest exponent prime factors to calculate the LCM of 14297 and 14306.

LCM(14297,14306) = 17¹ × 29² × 2¹ × 23¹ × 311¹
LCM(14297,14306) = 204532882