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What is the Least Common Multiple of 82855 and 82861?

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 82855 and 82861 is 6865448155.

LCM(82855,82861) = 6865448155

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Least Common Multiple of 82855 and 82861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82855 and 82861, than apply into the LCM equation.

GCF(82855,82861) = 1
LCM(82855,82861) = ( 82855 × 82861) / 1
LCM(82855,82861) = 6865448155 / 1
LCM(82855,82861) = 6865448155

Least Common Multiple (LCM) of 82855 and 82861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82855 and 82861. First we will calculate the prime factors of 82855 and 82861.

Prime Factorization of 82855

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

82855 = 51 × 731 × 2271

Prime Factorization of 82861

Prime factors of 82861 are 41, 43, 47. Prime factorization of 82861 in exponential form is:

82861 = 411 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 82855 and 82861.

LCM(82855,82861) = 51 × 731 × 2271 × 411 × 431 × 471
LCM(82855,82861) = 6865448155