What is the Least Common Multiple of 82831 and 82851?
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 82831 and 82851 is 6862631181.
LCM(82831,82851) = 6862631181
Least Common Multiple of 82831 and 82851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82831 and 82851, than apply into the LCM equation.
GCF(82831,82851) = 1
LCM(82831,82851) = ( 82831 × 82851) / 1
LCM(82831,82851) = 6862631181 / 1
LCM(82831,82851) = 6862631181
Least Common Multiple (LCM) of 82831 and 82851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82831 and 82851. First we will calculate the prime factors of 82831 and 82851.
Prime Factorization of 82831
Prime factors of 82831 are 7, 11833. Prime factorization of 82831 in exponential form is:
82831 = 71 × 118331
Prime Factorization of 82851
Prime factors of 82851 are 3, 27617. Prime factorization of 82851 in exponential form is:
82851 = 31 × 276171
Now multiplying the highest exponent prime factors to calculate the LCM of 82831 and 82851.
LCM(82831,82851) = 71 × 118331 × 31 × 276171
LCM(82831,82851) = 6862631181
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