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What is the Least Common Multiple of 8944 and 8959?

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 8944 and 8959 is 80129296.

LCM(8944,8959) = 80129296

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Least Common Multiple of 8944 and 8959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8944 and 8959, than apply into the LCM equation.

GCF(8944,8959) = 1
LCM(8944,8959) = ( 8944 × 8959) / 1
LCM(8944,8959) = 80129296 / 1
LCM(8944,8959) = 80129296

Least Common Multiple (LCM) of 8944 and 8959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8944 and 8959. First we will calculate the prime factors of 8944 and 8959.

Prime Factorization of 8944

Prime factors of 8944 are 2, 13, 43. Prime factorization of 8944 in exponential form is:

8944 = 24 × 131 × 431

Prime Factorization of 8959

Prime factors of 8959 are 17, 31. Prime factorization of 8959 in exponential form is:

8959 = 172 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8944 and 8959.

LCM(8944,8959) = 24 × 131 × 431 × 172 × 311
LCM(8944,8959) = 80129296