What is the Least Common Multiple of 14238 and 14257?

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 14238 and 14257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14238 and 14257, than apply into the LCM equation.

GCF(14238,14257) = 1
LCM(14238,14257) = ( 14238 × 14257) / 1
LCM(14238,14257) = 202991166 / 1
LCM(14238,14257) = 202991166

Least Common Multiple (LCM) of 14238 and 14257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14238 and 14257. First we will calculate the prime factors of 14238 and 14257.

Prime Factorization of 14238

Prime Factorization of 14257

Now multiplying the highest exponent prime factors to calculate the LCM of 14238 and 14257.

LCM(14238,14257) = 2¹ × 3² × 7¹ × 113¹ × 53¹ × 269¹
LCM(14238,14257) = 202991166