What is the Least Common Multiple of 82882 and 82897?
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 82882 and 82897 is 6870669154.
LCM(82882,82897) = 6870669154
Least Common Multiple of 82882 and 82897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82882 and 82897, than apply into the LCM equation.
GCF(82882,82897) = 1
LCM(82882,82897) = ( 82882 × 82897) / 1
LCM(82882,82897) = 6870669154 / 1
LCM(82882,82897) = 6870669154
Least Common Multiple (LCM) of 82882 and 82897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82882 and 82897. First we will calculate the prime factors of 82882 and 82897.
Prime Factorization of 82882
Prime factors of 82882 are 2, 29, 1429. Prime factorization of 82882 in exponential form is:
82882 = 21 × 291 × 14291
Prime Factorization of 82897
Prime factors of 82897 are 19, 4363. Prime factorization of 82897 in exponential form is:
82897 = 191 × 43631
Now multiplying the highest exponent prime factors to calculate the LCM of 82882 and 82897.
LCM(82882,82897) = 21 × 291 × 14291 × 191 × 43631
LCM(82882,82897) = 6870669154
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