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What is the Least Common Multiple of 11286 and 11296?

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 11286 and 11296 is 63743328.

LCM(11286,11296) = 63743328

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Least Common Multiple of 11286 and 11296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11286 and 11296, than apply into the LCM equation.

GCF(11286,11296) = 2
LCM(11286,11296) = ( 11286 × 11296) / 2
LCM(11286,11296) = 127486656 / 2
LCM(11286,11296) = 63743328

Least Common Multiple (LCM) of 11286 and 11296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11286 and 11296. First we will calculate the prime factors of 11286 and 11296.

Prime Factorization of 11286

Prime factors of 11286 are 2, 3, 11, 19. Prime factorization of 11286 in exponential form is:

11286 = 21 × 33 × 111 × 191

Prime Factorization of 11296

Prime factors of 11296 are 2, 353. Prime factorization of 11296 in exponential form is:

11296 = 25 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 11286 and 11296.

LCM(11286,11296) = 25 × 33 × 111 × 191 × 3531
LCM(11286,11296) = 63743328