GCF and LCM Calculator Logo

What is the Least Common Multiple of 12228 and 12238?

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 (LCM) of 12228 and 12238 is 74823132.

LCM(12228,12238) = 74823132

LCM Calculator and
and

Least Common Multiple of 12228 and 12238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12228 and 12238, than apply into the LCM equation.

GCF(12228,12238) = 2
LCM(12228,12238) = ( 12228 × 12238) / 2
LCM(12228,12238) = 149646264 / 2
LCM(12228,12238) = 74823132

Least Common Multiple (LCM) of 12228 and 12238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12228 and 12238. First we will calculate the prime factors of 12228 and 12238.

Prime Factorization of 12228

Prime factors of 12228 are 2, 3, 1019. Prime factorization of 12228 in exponential form is:

12228 = 22 × 31 × 10191

Prime Factorization of 12238

Prime factors of 12238 are 2, 29, 211. Prime factorization of 12238 in exponential form is:

12238 = 21 × 291 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 12228 and 12238.

LCM(12228,12238) = 22 × 31 × 10191 × 291 × 2111
LCM(12228,12238) = 74823132