What is the Least Common Multiple of 81287 and 81291?
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 81287 and 81291 is 6607901517.
LCM(81287,81291) = 6607901517
Least Common Multiple of 81287 and 81291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81287 and 81291, than apply into the LCM equation.
GCF(81287,81291) = 1
LCM(81287,81291) = ( 81287 × 81291) / 1
LCM(81287,81291) = 6607901517 / 1
LCM(81287,81291) = 6607901517
Least Common Multiple (LCM) of 81287 and 81291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81287 and 81291. First we will calculate the prime factors of 81287 and 81291.
Prime Factorization of 81287
Prime factors of 81287 are 29, 2803. Prime factorization of 81287 in exponential form is:
81287 = 291 × 28031
Prime Factorization of 81291
Prime factors of 81291 are 3, 7, 79. Prime factorization of 81291 in exponential form is:
81291 = 31 × 73 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 81287 and 81291.
LCM(81287,81291) = 291 × 28031 × 31 × 73 × 791
LCM(81287,81291) = 6607901517
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