GCF and LCM Calculator Logo

What is the Least Common Multiple of 11269 and 11275?

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 11269 and 11275 is 127057975.

LCM(11269,11275) = 127057975

LCM Calculator and
and

Least Common Multiple of 11269 and 11275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11269 and 11275, than apply into the LCM equation.

GCF(11269,11275) = 1
LCM(11269,11275) = ( 11269 × 11275) / 1
LCM(11269,11275) = 127057975 / 1
LCM(11269,11275) = 127057975

Least Common Multiple (LCM) of 11269 and 11275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11269 and 11275. First we will calculate the prime factors of 11269 and 11275.

Prime Factorization of 11269

Prime factors of 11269 are 59, 191. Prime factorization of 11269 in exponential form is:

11269 = 591 × 1911

Prime Factorization of 11275

Prime factors of 11275 are 5, 11, 41. Prime factorization of 11275 in exponential form is:

11275 = 52 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 11269 and 11275.

LCM(11269,11275) = 591 × 1911 × 52 × 111 × 411
LCM(11269,11275) = 127057975