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What is the Least Common Multiple of 11296 and 11313?

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 11296 and 11313 is 127791648.

LCM(11296,11313) = 127791648

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Least Common Multiple of 11296 and 11313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11296 and 11313, than apply into the LCM equation.

GCF(11296,11313) = 1
LCM(11296,11313) = ( 11296 × 11313) / 1
LCM(11296,11313) = 127791648 / 1
LCM(11296,11313) = 127791648

Least Common Multiple (LCM) of 11296 and 11313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11296 and 11313. First we will calculate the prime factors of 11296 and 11313.

Prime Factorization of 11296

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

11296 = 25 × 3531

Prime Factorization of 11313

Prime factors of 11313 are 3, 419. Prime factorization of 11313 in exponential form is:

11313 = 33 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 11296 and 11313.

LCM(11296,11313) = 25 × 3531 × 33 × 4191
LCM(11296,11313) = 127791648