GCF and LCM Calculator Logo

What is the Least Common Multiple of 11385 and 11394?

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 11385 and 11394 is 14413410.

LCM(11385,11394) = 14413410

LCM Calculator and
and

Least Common Multiple of 11385 and 11394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11385 and 11394, than apply into the LCM equation.

GCF(11385,11394) = 9
LCM(11385,11394) = ( 11385 × 11394) / 9
LCM(11385,11394) = 129720690 / 9
LCM(11385,11394) = 14413410

Least Common Multiple (LCM) of 11385 and 11394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11385 and 11394. First we will calculate the prime factors of 11385 and 11394.

Prime Factorization of 11385

Prime factors of 11385 are 3, 5, 11, 23. Prime factorization of 11385 in exponential form is:

11385 = 32 × 51 × 111 × 231

Prime Factorization of 11394

Prime factors of 11394 are 2, 3, 211. Prime factorization of 11394 in exponential form is:

11394 = 21 × 33 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 11385 and 11394.

LCM(11385,11394) = 33 × 51 × 111 × 231 × 21 × 2111
LCM(11385,11394) = 14413410