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What is the Least Common Multiple of 16866 and 16871?

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 16866 and 16871 is 284546286.

LCM(16866,16871) = 284546286

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Least Common Multiple of 16866 and 16871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16866 and 16871, than apply into the LCM equation.

GCF(16866,16871) = 1
LCM(16866,16871) = ( 16866 × 16871) / 1
LCM(16866,16871) = 284546286 / 1
LCM(16866,16871) = 284546286

Least Common Multiple (LCM) of 16866 and 16871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16866 and 16871. First we will calculate the prime factors of 16866 and 16871.

Prime Factorization of 16866

Prime factors of 16866 are 2, 3, 937. Prime factorization of 16866 in exponential form is:

16866 = 21 × 32 × 9371

Prime Factorization of 16871

Prime factors of 16871 are 16871. Prime factorization of 16871 in exponential form is:

16871 = 168711

Now multiplying the highest exponent prime factors to calculate the LCM of 16866 and 16871.

LCM(16866,16871) = 21 × 32 × 9371 × 168711
LCM(16866,16871) = 284546286