What is the Least Common Multiple of 14321 and 14340?

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 14321 and 14340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14321 and 14340, than apply into the LCM equation.

GCF(14321,14340) = 1
LCM(14321,14340) = ( 14321 × 14340) / 1
LCM(14321,14340) = 205363140 / 1
LCM(14321,14340) = 205363140

Least Common Multiple (LCM) of 14321 and 14340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14321 and 14340. First we will calculate the prime factors of 14321 and 14340.

Prime Factorization of 14321

Prime Factorization of 14340

Now multiplying the highest exponent prime factors to calculate the LCM of 14321 and 14340.

LCM(14321,14340) = 14321¹ × 2² × 3¹ × 5¹ × 239¹
LCM(14321,14340) = 205363140