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What is the Least Common Multiple of 18866 and 18871?

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 18866 and 18871 is 356020286.

LCM(18866,18871) = 356020286

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Least Common Multiple of 18866 and 18871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18866 and 18871, than apply into the LCM equation.

GCF(18866,18871) = 1
LCM(18866,18871) = ( 18866 × 18871) / 1
LCM(18866,18871) = 356020286 / 1
LCM(18866,18871) = 356020286

Least Common Multiple (LCM) of 18866 and 18871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18866 and 18871. First we will calculate the prime factors of 18866 and 18871.

Prime Factorization of 18866

Prime factors of 18866 are 2, 9433. Prime factorization of 18866 in exponential form is:

18866 = 21 × 94331

Prime Factorization of 18871

Prime factors of 18871 are 113, 167. Prime factorization of 18871 in exponential form is:

18871 = 1131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 18866 and 18871.

LCM(18866,18871) = 21 × 94331 × 1131 × 1671
LCM(18866,18871) = 356020286