What is the Least Common Multiple of 14229 and 14237?

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 14229 and 14237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14229 and 14237, than apply into the LCM equation.

GCF(14229,14237) = 1
LCM(14229,14237) = ( 14229 × 14237) / 1
LCM(14229,14237) = 202578273 / 1
LCM(14229,14237) = 202578273

Least Common Multiple (LCM) of 14229 and 14237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14229 and 14237. First we will calculate the prime factors of 14229 and 14237.

Prime Factorization of 14229

Prime Factorization of 14237

Now multiplying the highest exponent prime factors to calculate the LCM of 14229 and 14237.

LCM(14229,14237) = 3³ × 17¹ × 31¹ × 23¹ × 619¹
LCM(14229,14237) = 202578273