GCF and LCM Calculator Logo

What is the Least Common Multiple of 12308 and 12326?

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 12308 and 12326 is 75854204.

LCM(12308,12326) = 75854204

LCM Calculator and
and

Least Common Multiple of 12308 and 12326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12308 and 12326, than apply into the LCM equation.

GCF(12308,12326) = 2
LCM(12308,12326) = ( 12308 × 12326) / 2
LCM(12308,12326) = 151708408 / 2
LCM(12308,12326) = 75854204

Least Common Multiple (LCM) of 12308 and 12326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12308 and 12326. First we will calculate the prime factors of 12308 and 12326.

Prime Factorization of 12308

Prime factors of 12308 are 2, 17, 181. Prime factorization of 12308 in exponential form is:

12308 = 22 × 171 × 1811

Prime Factorization of 12326

Prime factors of 12326 are 2, 6163. Prime factorization of 12326 in exponential form is:

12326 = 21 × 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 12308 and 12326.

LCM(12308,12326) = 22 × 171 × 1811 × 61631
LCM(12308,12326) = 75854204