GCF and LCM Calculator Logo

What is the Least Common Multiple of 11396 and 11405?

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 11396 and 11405 is 129971380.

LCM(11396,11405) = 129971380

LCM Calculator and
and

Least Common Multiple of 11396 and 11405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11396 and 11405, than apply into the LCM equation.

GCF(11396,11405) = 1
LCM(11396,11405) = ( 11396 × 11405) / 1
LCM(11396,11405) = 129971380 / 1
LCM(11396,11405) = 129971380

Least Common Multiple (LCM) of 11396 and 11405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11396 and 11405. First we will calculate the prime factors of 11396 and 11405.

Prime Factorization of 11396

Prime factors of 11396 are 2, 7, 11, 37. Prime factorization of 11396 in exponential form is:

11396 = 22 × 71 × 111 × 371

Prime Factorization of 11405

Prime factors of 11405 are 5, 2281. Prime factorization of 11405 in exponential form is:

11405 = 51 × 22811

Now multiplying the highest exponent prime factors to calculate the LCM of 11396 and 11405.

LCM(11396,11405) = 22 × 71 × 111 × 371 × 51 × 22811
LCM(11396,11405) = 129971380