What is the Least Common Multiple of 14346 and 14361?

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 14346 and 14361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14346 and 14361, than apply into the LCM equation.

GCF(14346,14361) = 3
LCM(14346,14361) = ( 14346 × 14361) / 3
LCM(14346,14361) = 206022906 / 3
LCM(14346,14361) = 68674302

Least Common Multiple (LCM) of 14346 and 14361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14346 and 14361. First we will calculate the prime factors of 14346 and 14361.

Prime Factorization of 14346

Prime Factorization of 14361

Now multiplying the highest exponent prime factors to calculate the LCM of 14346 and 14361.

LCM(14346,14361) = 2¹ × 3² × 797¹ × 4787¹
LCM(14346,14361) = 68674302