What is the Least Common Multiple of 12238 and 12258?

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 12258 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 12258, than apply into the LCM equation.

GCF(12238,12258) = 2
LCM(12238,12258) = ( 12238 × 12258) / 2
LCM(12238,12258) = 150013404 / 2
LCM(12238,12258) = 75006702

Least Common Multiple (LCM) of 12238 and 12258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12238 and 12258. First we will calculate the prime factors of 12238 and 12258.

Prime Factorization of 12238

Prime Factorization of 12258

Now multiplying the highest exponent prime factors to calculate the LCM of 12238 and 12258.

LCM(12238,12258) = 2¹ × 29¹ × 211¹ × 3³ × 227¹
LCM(12238,12258) = 75006702