What is the Least Common Multiple of 82877 and 82886?
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 82877 and 82886 is 6869343022.
LCM(82877,82886) = 6869343022
Least Common Multiple of 82877 and 82886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82877 and 82886, than apply into the LCM equation.
GCF(82877,82886) = 1
LCM(82877,82886) = ( 82877 × 82886) / 1
LCM(82877,82886) = 6869343022 / 1
LCM(82877,82886) = 6869343022
Least Common Multiple (LCM) of 82877 and 82886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82877 and 82886. First we will calculate the prime factors of 82877 and 82886.
Prime Factorization of 82877
Prime factors of 82877 are 179, 463. Prime factorization of 82877 in exponential form is:
82877 = 1791 × 4631
Prime Factorization of 82886
Prime factors of 82886 are 2, 41443. Prime factorization of 82886 in exponential form is:
82886 = 21 × 414431
Now multiplying the highest exponent prime factors to calculate the LCM of 82877 and 82886.
LCM(82877,82886) = 1791 × 4631 × 21 × 414431
LCM(82877,82886) = 6869343022
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