GCF and LCM Calculator Logo

What is the Least Common Multiple of 12366 and 12382?

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 12366 and 12382 is 76557906.

LCM(12366,12382) = 76557906

LCM Calculator and
and

Least Common Multiple of 12366 and 12382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12366 and 12382, than apply into the LCM equation.

GCF(12366,12382) = 2
LCM(12366,12382) = ( 12366 × 12382) / 2
LCM(12366,12382) = 153115812 / 2
LCM(12366,12382) = 76557906

Least Common Multiple (LCM) of 12366 and 12382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12366 and 12382. First we will calculate the prime factors of 12366 and 12382.

Prime Factorization of 12366

Prime factors of 12366 are 2, 3, 229. Prime factorization of 12366 in exponential form is:

12366 = 21 × 33 × 2291

Prime Factorization of 12382

Prime factors of 12382 are 2, 41, 151. Prime factorization of 12382 in exponential form is:

12382 = 21 × 411 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 12366 and 12382.

LCM(12366,12382) = 21 × 33 × 2291 × 411 × 1511
LCM(12366,12382) = 76557906