GCF and LCM Calculator Logo

What is the Least Common Multiple of 11427 and 11443?

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 11427 and 11443 is 130759161.

LCM(11427,11443) = 130759161

LCM Calculator and
and

Least Common Multiple of 11427 and 11443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11427 and 11443, than apply into the LCM equation.

GCF(11427,11443) = 1
LCM(11427,11443) = ( 11427 × 11443) / 1
LCM(11427,11443) = 130759161 / 1
LCM(11427,11443) = 130759161

Least Common Multiple (LCM) of 11427 and 11443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11427 and 11443. First we will calculate the prime factors of 11427 and 11443.

Prime Factorization of 11427

Prime factors of 11427 are 3, 13, 293. Prime factorization of 11427 in exponential form is:

11427 = 31 × 131 × 2931

Prime Factorization of 11443

Prime factors of 11443 are 11443. Prime factorization of 11443 in exponential form is:

11443 = 114431

Now multiplying the highest exponent prime factors to calculate the LCM of 11427 and 11443.

LCM(11427,11443) = 31 × 131 × 2931 × 114431
LCM(11427,11443) = 130759161