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What is the Least Common Multiple of 18866 and 18870?

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 18870 is 178000710.

LCM(18866,18870) = 178000710

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Least Common Multiple of 18866 and 18870 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 18870, than apply into the LCM equation.

GCF(18866,18870) = 2
LCM(18866,18870) = ( 18866 × 18870) / 2
LCM(18866,18870) = 356001420 / 2
LCM(18866,18870) = 178000710

Least Common Multiple (LCM) of 18866 and 18870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18866 and 18870. First we will calculate the prime factors of 18866 and 18870.

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 18870

Prime factors of 18870 are 2, 3, 5, 17, 37. Prime factorization of 18870 in exponential form is:

18870 = 21 × 31 × 51 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18866 and 18870.

LCM(18866,18870) = 21 × 94331 × 31 × 51 × 171 × 371
LCM(18866,18870) = 178000710