What is the Least Common Multiple of 82886 and 82891?
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 82886 and 82891 is 6870503426.
LCM(82886,82891) = 6870503426
Least Common Multiple of 82886 and 82891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82886 and 82891, than apply into the LCM equation.
GCF(82886,82891) = 1
LCM(82886,82891) = ( 82886 × 82891) / 1
LCM(82886,82891) = 6870503426 / 1
LCM(82886,82891) = 6870503426
Least Common Multiple (LCM) of 82886 and 82891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82886 and 82891. First we will calculate the prime factors of 82886 and 82891.
Prime Factorization of 82886
Prime factors of 82886 are 2, 41443. Prime factorization of 82886 in exponential form is:
82886 = 21 × 414431
Prime Factorization of 82891
Prime factors of 82891 are 82891. Prime factorization of 82891 in exponential form is:
82891 = 828911
Now multiplying the highest exponent prime factors to calculate the LCM of 82886 and 82891.
LCM(82886,82891) = 21 × 414431 × 828911
LCM(82886,82891) = 6870503426
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