What is the Least Common Multiple of 82847 and 82858?
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 82847 and 82858 is 6864536726.
LCM(82847,82858) = 6864536726
Least Common Multiple of 82847 and 82858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82847 and 82858, than apply into the LCM equation.
GCF(82847,82858) = 1
LCM(82847,82858) = ( 82847 × 82858) / 1
LCM(82847,82858) = 6864536726 / 1
LCM(82847,82858) = 6864536726
Least Common Multiple (LCM) of 82847 and 82858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82847 and 82858. First we will calculate the prime factors of 82847 and 82858.
Prime Factorization of 82847
Prime factors of 82847 are 82847. Prime factorization of 82847 in exponential form is:
82847 = 828471
Prime Factorization of 82858
Prime factors of 82858 are 2, 17, 2437. Prime factorization of 82858 in exponential form is:
82858 = 21 × 171 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 82847 and 82858.
LCM(82847,82858) = 828471 × 21 × 171 × 24371
LCM(82847,82858) = 6864536726
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