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What is the Least Common Multiple of 11265 and 11269?

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 11265 and 11269 is 126945285.

LCM(11265,11269) = 126945285

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Least Common Multiple of 11265 and 11269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11265 and 11269, than apply into the LCM equation.

GCF(11265,11269) = 1
LCM(11265,11269) = ( 11265 × 11269) / 1
LCM(11265,11269) = 126945285 / 1
LCM(11265,11269) = 126945285

Least Common Multiple (LCM) of 11265 and 11269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11265 and 11269. First we will calculate the prime factors of 11265 and 11269.

Prime Factorization of 11265

Prime factors of 11265 are 3, 5, 751. Prime factorization of 11265 in exponential form is:

11265 = 31 × 51 × 7511

Prime Factorization of 11269

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

11269 = 591 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 11265 and 11269.

LCM(11265,11269) = 31 × 51 × 7511 × 591 × 1911
LCM(11265,11269) = 126945285