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What is the Least Common Multiple of 18563 and 18576?

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 18563 and 18576 is 344826288.

LCM(18563,18576) = 344826288

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Least Common Multiple of 18563 and 18576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18563 and 18576, than apply into the LCM equation.

GCF(18563,18576) = 1
LCM(18563,18576) = ( 18563 × 18576) / 1
LCM(18563,18576) = 344826288 / 1
LCM(18563,18576) = 344826288

Least Common Multiple (LCM) of 18563 and 18576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18563 and 18576. First we will calculate the prime factors of 18563 and 18576.

Prime Factorization of 18563

Prime factors of 18563 are 19, 977. Prime factorization of 18563 in exponential form is:

18563 = 191 × 9771

Prime Factorization of 18576

Prime factors of 18576 are 2, 3, 43. Prime factorization of 18576 in exponential form is:

18576 = 24 × 33 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 18563 and 18576.

LCM(18563,18576) = 191 × 9771 × 24 × 33 × 431
LCM(18563,18576) = 344826288