What is the Least Common Multiple of 81227 and 81231?
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 81227 and 81231 is 6598150437.
LCM(81227,81231) = 6598150437
Least Common Multiple of 81227 and 81231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81227 and 81231, than apply into the LCM equation.
GCF(81227,81231) = 1
LCM(81227,81231) = ( 81227 × 81231) / 1
LCM(81227,81231) = 6598150437 / 1
LCM(81227,81231) = 6598150437
Least Common Multiple (LCM) of 81227 and 81231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81227 and 81231. First we will calculate the prime factors of 81227 and 81231.
Prime Factorization of 81227
Prime factors of 81227 are 43, 1889. Prime factorization of 81227 in exponential form is:
81227 = 431 × 18891
Prime Factorization of 81231
Prime factors of 81231 are 3, 27077. Prime factorization of 81231 in exponential form is:
81231 = 31 × 270771
Now multiplying the highest exponent prime factors to calculate the LCM of 81227 and 81231.
LCM(81227,81231) = 431 × 18891 × 31 × 270771
LCM(81227,81231) = 6598150437
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