What is the Least Common Multiple of 14321 and 14338?

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 14338 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 14338, than apply into the LCM equation.

GCF(14321,14338) = 1
LCM(14321,14338) = ( 14321 × 14338) / 1
LCM(14321,14338) = 205334498 / 1
LCM(14321,14338) = 205334498

Least Common Multiple (LCM) of 14321 and 14338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14321 and 14338. First we will calculate the prime factors of 14321 and 14338.

Prime Factorization of 14321

Prime Factorization of 14338

Now multiplying the highest exponent prime factors to calculate the LCM of 14321 and 14338.

LCM(14321,14338) = 14321¹ × 2¹ × 67¹ × 107¹
LCM(14321,14338) = 205334498