What is the Least Common Multiple of 14289 and 14298?

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 14289 and 14298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14289 and 14298, than apply into the LCM equation.

GCF(14289,14298) = 3
LCM(14289,14298) = ( 14289 × 14298) / 3
LCM(14289,14298) = 204304122 / 3
LCM(14289,14298) = 68101374

Least Common Multiple (LCM) of 14289 and 14298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14289 and 14298. First we will calculate the prime factors of 14289 and 14298.

Prime Factorization of 14289

Prime Factorization of 14298

Now multiplying the highest exponent prime factors to calculate the LCM of 14289 and 14298.

LCM(14289,14298) = 3¹ × 11¹ × 433¹ × 2¹ × 2383¹
LCM(14289,14298) = 68101374