GCF and LCM Calculator Logo

What is the Least Common Multiple of 12323 and 12331?

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 12323 and 12331 is 151954913.

LCM(12323,12331) = 151954913

LCM Calculator and
and

Least Common Multiple of 12323 and 12331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12323 and 12331, than apply into the LCM equation.

GCF(12323,12331) = 1
LCM(12323,12331) = ( 12323 × 12331) / 1
LCM(12323,12331) = 151954913 / 1
LCM(12323,12331) = 151954913

Least Common Multiple (LCM) of 12323 and 12331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12323 and 12331. First we will calculate the prime factors of 12323 and 12331.

Prime Factorization of 12323

Prime factors of 12323 are 12323. Prime factorization of 12323 in exponential form is:

12323 = 123231

Prime Factorization of 12331

Prime factors of 12331 are 11, 19, 59. Prime factorization of 12331 in exponential form is:

12331 = 111 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12323 and 12331.

LCM(12323,12331) = 123231 × 111 × 191 × 591
LCM(12323,12331) = 151954913