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What is the Least Common Multiple of 11456 and 11463?

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 11456 and 11463 is 131320128.

LCM(11456,11463) = 131320128

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Least Common Multiple of 11456 and 11463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11456 and 11463, than apply into the LCM equation.

GCF(11456,11463) = 1
LCM(11456,11463) = ( 11456 × 11463) / 1
LCM(11456,11463) = 131320128 / 1
LCM(11456,11463) = 131320128

Least Common Multiple (LCM) of 11456 and 11463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11456 and 11463. First we will calculate the prime factors of 11456 and 11463.

Prime Factorization of 11456

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

11456 = 26 × 1791

Prime Factorization of 11463

Prime factors of 11463 are 3, 3821. Prime factorization of 11463 in exponential form is:

11463 = 31 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 11456 and 11463.

LCM(11456,11463) = 26 × 1791 × 31 × 38211
LCM(11456,11463) = 131320128