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What is the Least Common Multiple of 11264 and 11281?

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 11264 and 11281 is 127069184.

LCM(11264,11281) = 127069184

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Least Common Multiple of 11264 and 11281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11264 and 11281, than apply into the LCM equation.

GCF(11264,11281) = 1
LCM(11264,11281) = ( 11264 × 11281) / 1
LCM(11264,11281) = 127069184 / 1
LCM(11264,11281) = 127069184

Least Common Multiple (LCM) of 11264 and 11281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11281. First we will calculate the prime factors of 11264 and 11281.

Prime Factorization of 11264

Prime factors of 11264 are 2, 11. Prime factorization of 11264 in exponential form is:

11264 = 210 × 111

Prime Factorization of 11281

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

11281 = 291 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11281.

LCM(11264,11281) = 210 × 111 × 291 × 3891
LCM(11264,11281) = 127069184