GCF and LCM Calculator Logo

What is the Least Common Multiple of 13866 and 13886?

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 13866 and 13886 is 96271638.

LCM(13866,13886) = 96271638

LCM Calculator and
and

Least Common Multiple of 13866 and 13886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13866 and 13886, than apply into the LCM equation.

GCF(13866,13886) = 2
LCM(13866,13886) = ( 13866 × 13886) / 2
LCM(13866,13886) = 192543276 / 2
LCM(13866,13886) = 96271638

Least Common Multiple (LCM) of 13866 and 13886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13866 and 13886. First we will calculate the prime factors of 13866 and 13886.

Prime Factorization of 13866

Prime factors of 13866 are 2, 3, 2311. Prime factorization of 13866 in exponential form is:

13866 = 21 × 31 × 23111

Prime Factorization of 13886

Prime factors of 13886 are 2, 53, 131. Prime factorization of 13886 in exponential form is:

13886 = 21 × 531 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13866 and 13886.

LCM(13866,13886) = 21 × 31 × 23111 × 531 × 1311
LCM(13866,13886) = 96271638