What is the Least Common Multiple of 82843 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 82843 and 82855 is 6863956765.
LCM(82843,82855) = 6863956765
Least Common Multiple of 82843 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 82843 and 82855, than apply into the LCM equation.
GCF(82843,82855) = 1
LCM(82843,82855) = ( 82843 × 82855) / 1
LCM(82843,82855) = 6863956765 / 1
LCM(82843,82855) = 6863956765
Least Common Multiple (LCM) of 82843 and 82855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82843 and 82855. First we will calculate the prime factors of 82843 and 82855.
Prime Factorization of 82843
Prime factors of 82843 are 37, 2239. Prime factorization of 82843 in exponential form is:
82843 = 371 × 22391
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 82843 and 82855.
LCM(82843,82855) = 371 × 22391 × 51 × 731 × 2271
LCM(82843,82855) = 6863956765
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