What is the Least Common Multiple of 12238 and 12257?

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 12238 and 12257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12238 and 12257, than apply into the LCM equation.

GCF(12238,12257) = 1
LCM(12238,12257) = ( 12238 × 12257) / 1
LCM(12238,12257) = 150001166 / 1
LCM(12238,12257) = 150001166

Least Common Multiple (LCM) of 12238 and 12257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12238 and 12257. First we will calculate the prime factors of 12238 and 12257.

Prime Factorization of 12238

Prime Factorization of 12257

Now multiplying the highest exponent prime factors to calculate the LCM of 12238 and 12257.

LCM(12238,12257) = 2¹ × 29¹ × 211¹ × 7¹ × 17¹ × 103¹
LCM(12238,12257) = 150001166