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What is the Least Common Multiple of 11447 and 11456?

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 11447 and 11456 is 131136832.

LCM(11447,11456) = 131136832

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Least Common Multiple of 11447 and 11456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11447 and 11456, than apply into the LCM equation.

GCF(11447,11456) = 1
LCM(11447,11456) = ( 11447 × 11456) / 1
LCM(11447,11456) = 131136832 / 1
LCM(11447,11456) = 131136832

Least Common Multiple (LCM) of 11447 and 11456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11447 and 11456. First we will calculate the prime factors of 11447 and 11456.

Prime Factorization of 11447

Prime factors of 11447 are 11447. Prime factorization of 11447 in exponential form is:

11447 = 114471

Prime Factorization of 11456

Prime factors of 11456 are 2, 179. Prime factorization of 11456 in exponential form is:

11456 = 26 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 11447 and 11456.

LCM(11447,11456) = 114471 × 26 × 1791
LCM(11447,11456) = 131136832