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What is the Least Common Multiple of 17944 and 17959?

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 17944 and 17959 is 322256296.

LCM(17944,17959) = 322256296

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Least Common Multiple of 17944 and 17959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17944 and 17959, than apply into the LCM equation.

GCF(17944,17959) = 1
LCM(17944,17959) = ( 17944 × 17959) / 1
LCM(17944,17959) = 322256296 / 1
LCM(17944,17959) = 322256296

Least Common Multiple (LCM) of 17944 and 17959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17944 and 17959. First we will calculate the prime factors of 17944 and 17959.

Prime Factorization of 17944

Prime factors of 17944 are 2, 2243. Prime factorization of 17944 in exponential form is:

17944 = 23 × 22431

Prime Factorization of 17959

Prime factors of 17959 are 17959. Prime factorization of 17959 in exponential form is:

17959 = 179591

Now multiplying the highest exponent prime factors to calculate the LCM of 17944 and 17959.

LCM(17944,17959) = 23 × 22431 × 179591
LCM(17944,17959) = 322256296