What is the Least Common Multiple of 82847 and 82853?
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 82853 is 6864122491.
LCM(82847,82853) = 6864122491
Least Common Multiple of 82847 and 82853 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 82853, than apply into the LCM equation.
GCF(82847,82853) = 1
LCM(82847,82853) = ( 82847 × 82853) / 1
LCM(82847,82853) = 6864122491 / 1
LCM(82847,82853) = 6864122491
Least Common Multiple (LCM) of 82847 and 82853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82847 and 82853. First we will calculate the prime factors of 82847 and 82853.
Prime Factorization of 82847
Prime factors of 82847 are 82847. Prime factorization of 82847 in exponential form is:
82847 = 828471
Prime Factorization of 82853
Prime factors of 82853 are 29, 2857. Prime factorization of 82853 in exponential form is:
82853 = 291 × 28571
Now multiplying the highest exponent prime factors to calculate the LCM of 82847 and 82853.
LCM(82847,82853) = 828471 × 291 × 28571
LCM(82847,82853) = 6864122491
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