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What is the Least Common Multiple of 3856 and 3863?

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 3856 and 3863 is 14895728.

LCM(3856,3863) = 14895728

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Least Common Multiple of 3856 and 3863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3856 and 3863, than apply into the LCM equation.

GCF(3856,3863) = 1
LCM(3856,3863) = ( 3856 × 3863) / 1
LCM(3856,3863) = 14895728 / 1
LCM(3856,3863) = 14895728

Least Common Multiple (LCM) of 3856 and 3863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3856 and 3863. First we will calculate the prime factors of 3856 and 3863.

Prime Factorization of 3856

Prime factors of 3856 are 2, 241. Prime factorization of 3856 in exponential form is:

3856 = 24 × 2411

Prime Factorization of 3863

Prime factors of 3863 are 3863. Prime factorization of 3863 in exponential form is:

3863 = 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 3856 and 3863.

LCM(3856,3863) = 24 × 2411 × 38631
LCM(3856,3863) = 14895728