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What is the Least Common Multiple of 3873 and 3882?

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 3873 and 3882 is 5011662.

LCM(3873,3882) = 5011662

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Least Common Multiple of 3873 and 3882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3873 and 3882, than apply into the LCM equation.

GCF(3873,3882) = 3
LCM(3873,3882) = ( 3873 × 3882) / 3
LCM(3873,3882) = 15034986 / 3
LCM(3873,3882) = 5011662

Least Common Multiple (LCM) of 3873 and 3882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3873 and 3882. First we will calculate the prime factors of 3873 and 3882.

Prime Factorization of 3873

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

3873 = 31 × 12911

Prime Factorization of 3882

Prime factors of 3882 are 2, 3, 647. Prime factorization of 3882 in exponential form is:

3882 = 21 × 31 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 3873 and 3882.

LCM(3873,3882) = 31 × 12911 × 21 × 6471
LCM(3873,3882) = 5011662