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What is the Least Common Multiple of 3851 and 3866?

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 3851 and 3866 is 14887966.

LCM(3851,3866) = 14887966

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Least Common Multiple of 3851 and 3866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3851 and 3866, than apply into the LCM equation.

GCF(3851,3866) = 1
LCM(3851,3866) = ( 3851 × 3866) / 1
LCM(3851,3866) = 14887966 / 1
LCM(3851,3866) = 14887966

Least Common Multiple (LCM) of 3851 and 3866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3851 and 3866. First we will calculate the prime factors of 3851 and 3866.

Prime Factorization of 3851

Prime factors of 3851 are 3851. Prime factorization of 3851 in exponential form is:

3851 = 38511

Prime Factorization of 3866

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

3866 = 21 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 3851 and 3866.

LCM(3851,3866) = 38511 × 21 × 19331
LCM(3851,3866) = 14887966