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What is the Least Common Multiple of 3866 and 3873?

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 3866 and 3873 is 14973018.

LCM(3866,3873) = 14973018

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Least Common Multiple of 3866 and 3873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3866 and 3873, than apply into the LCM equation.

GCF(3866,3873) = 1
LCM(3866,3873) = ( 3866 × 3873) / 1
LCM(3866,3873) = 14973018 / 1
LCM(3866,3873) = 14973018

Least Common Multiple (LCM) of 3866 and 3873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3866 and 3873. First we will calculate the prime factors of 3866 and 3873.

Prime Factorization of 3866

Prime factors of 3866 are 2, 1933. Prime factorization of 3866 in exponential form is:

3866 = 21 × 19331

Prime Factorization of 3873

Prime factors of 3873 are 3, 1291. Prime factorization of 3873 in exponential form is:

3873 = 31 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 3866 and 3873.

LCM(3866,3873) = 21 × 19331 × 31 × 12911
LCM(3866,3873) = 14973018