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What is the Least Common Multiple of 12388 and 12396?

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 12388 and 12396 is 38390412.

LCM(12388,12396) = 38390412

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Least Common Multiple of 12388 and 12396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12388 and 12396, than apply into the LCM equation.

GCF(12388,12396) = 4
LCM(12388,12396) = ( 12388 × 12396) / 4
LCM(12388,12396) = 153561648 / 4
LCM(12388,12396) = 38390412

Least Common Multiple (LCM) of 12388 and 12396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12388 and 12396. First we will calculate the prime factors of 12388 and 12396.

Prime Factorization of 12388

Prime factors of 12388 are 2, 19, 163. Prime factorization of 12388 in exponential form is:

12388 = 22 × 191 × 1631

Prime Factorization of 12396

Prime factors of 12396 are 2, 3, 1033. Prime factorization of 12396 in exponential form is:

12396 = 22 × 31 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 12388 and 12396.

LCM(12388,12396) = 22 × 191 × 1631 × 31 × 10331
LCM(12388,12396) = 38390412