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What is the Least Common Multiple of 17858 and 17867?

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 17858 and 17867 is 319068886.

LCM(17858,17867) = 319068886

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Least Common Multiple of 17858 and 17867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17858 and 17867, than apply into the LCM equation.

GCF(17858,17867) = 1
LCM(17858,17867) = ( 17858 × 17867) / 1
LCM(17858,17867) = 319068886 / 1
LCM(17858,17867) = 319068886

Least Common Multiple (LCM) of 17858 and 17867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17858 and 17867. First we will calculate the prime factors of 17858 and 17867.

Prime Factorization of 17858

Prime factors of 17858 are 2, 8929. Prime factorization of 17858 in exponential form is:

17858 = 21 × 89291

Prime Factorization of 17867

Prime factors of 17867 are 17, 1051. Prime factorization of 17867 in exponential form is:

17867 = 171 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 17858 and 17867.

LCM(17858,17867) = 21 × 89291 × 171 × 10511
LCM(17858,17867) = 319068886