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What is the Least Common Multiple of 63841 and 63855?

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 63841 and 63855 is 4076567055.

LCM(63841,63855) = 4076567055

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Least Common Multiple of 63841 and 63855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63841 and 63855, than apply into the LCM equation.

GCF(63841,63855) = 1
LCM(63841,63855) = ( 63841 × 63855) / 1
LCM(63841,63855) = 4076567055 / 1
LCM(63841,63855) = 4076567055

Least Common Multiple (LCM) of 63841 and 63855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63841 and 63855. First we will calculate the prime factors of 63841 and 63855.

Prime Factorization of 63841

Prime factors of 63841 are 63841. Prime factorization of 63841 in exponential form is:

63841 = 638411

Prime Factorization of 63855

Prime factors of 63855 are 3, 5, 11, 43. Prime factorization of 63855 in exponential form is:

63855 = 33 × 51 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 63841 and 63855.

LCM(63841,63855) = 638411 × 33 × 51 × 111 × 431
LCM(63841,63855) = 4076567055