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What is the Least Common Multiple of 11281 and 11293?

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 11281 and 11293 is 127396333.

LCM(11281,11293) = 127396333

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Least Common Multiple of 11281 and 11293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11281 and 11293, than apply into the LCM equation.

GCF(11281,11293) = 1
LCM(11281,11293) = ( 11281 × 11293) / 1
LCM(11281,11293) = 127396333 / 1
LCM(11281,11293) = 127396333

Least Common Multiple (LCM) of 11281 and 11293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11281 and 11293. First we will calculate the prime factors of 11281 and 11293.

Prime Factorization of 11281

Prime factors of 11281 are 29, 389. Prime factorization of 11281 in exponential form is:

11281 = 291 × 3891

Prime Factorization of 11293

Prime factors of 11293 are 23, 491. Prime factorization of 11293 in exponential form is:

11293 = 231 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 11281 and 11293.

LCM(11281,11293) = 291 × 3891 × 231 × 4911
LCM(11281,11293) = 127396333