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What is the Least Common Multiple of 11269 and 11280?

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 11280 is 127114320.

LCM(11269,11280) = 127114320

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Least Common Multiple of 11269 and 11280 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 11280, than apply into the LCM equation.

GCF(11269,11280) = 1
LCM(11269,11280) = ( 11269 × 11280) / 1
LCM(11269,11280) = 127114320 / 1
LCM(11269,11280) = 127114320

Least Common Multiple (LCM) of 11269 and 11280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11269 and 11280. First we will calculate the prime factors of 11269 and 11280.

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 11280

Prime factors of 11280 are 2, 3, 5, 47. Prime factorization of 11280 in exponential form is:

11280 = 24 × 31 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 11269 and 11280.

LCM(11269,11280) = 591 × 1911 × 24 × 31 × 51 × 471
LCM(11269,11280) = 127114320