What is the Least Common Multiple of 14306 and 14314?

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 14306 and 14314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14306 and 14314, than apply into the LCM equation.

GCF(14306,14314) = 2
LCM(14306,14314) = ( 14306 × 14314) / 2
LCM(14306,14314) = 204776084 / 2
LCM(14306,14314) = 102388042

Least Common Multiple (LCM) of 14306 and 14314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14306 and 14314. First we will calculate the prime factors of 14306 and 14314.

Prime Factorization of 14306

Prime Factorization of 14314

Now multiplying the highest exponent prime factors to calculate the LCM of 14306 and 14314.

LCM(14306,14314) = 2¹ × 23¹ × 311¹ × 17¹ × 421¹
LCM(14306,14314) = 102388042