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What is the Least Common Multiple of 82841 and 82855?

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 82841 and 82855 is 6863791055.

LCM(82841,82855) = 6863791055

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Least Common Multiple of 82841 and 82855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82841 and 82855, than apply into the LCM equation.

GCF(82841,82855) = 1
LCM(82841,82855) = ( 82841 × 82855) / 1
LCM(82841,82855) = 6863791055 / 1
LCM(82841,82855) = 6863791055

Least Common Multiple (LCM) of 82841 and 82855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82841 and 82855. First we will calculate the prime factors of 82841 and 82855.

Prime Factorization of 82841

Prime factors of 82841 are 11, 17, 443. Prime factorization of 82841 in exponential form is:

82841 = 111 × 171 × 4431

Prime Factorization of 82855

Prime factors of 82855 are 5, 73, 227. Prime factorization of 82855 in exponential form is:

82855 = 51 × 731 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 82841 and 82855.

LCM(82841,82855) = 111 × 171 × 4431 × 51 × 731 × 2271
LCM(82841,82855) = 6863791055