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What is the Least Common Multiple of 17881 and 17893?

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 17881 and 17893 is 319944733.

LCM(17881,17893) = 319944733

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Least Common Multiple of 17881 and 17893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17881 and 17893, than apply into the LCM equation.

GCF(17881,17893) = 1
LCM(17881,17893) = ( 17881 × 17893) / 1
LCM(17881,17893) = 319944733 / 1
LCM(17881,17893) = 319944733

Least Common Multiple (LCM) of 17881 and 17893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17881 and 17893. First we will calculate the prime factors of 17881 and 17893.

Prime Factorization of 17881

Prime factors of 17881 are 17881. Prime factorization of 17881 in exponential form is:

17881 = 178811

Prime Factorization of 17893

Prime factors of 17893 are 29, 617. Prime factorization of 17893 in exponential form is:

17893 = 291 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 17881 and 17893.

LCM(17881,17893) = 178811 × 291 × 6171
LCM(17881,17893) = 319944733