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What is the Least Common Multiple of 82831 and 82835?

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 82835 is 6861305885.

LCM(82831,82835) = 6861305885

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Least Common Multiple of 82831 and 82835 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 82835, than apply into the LCM equation.

GCF(82831,82835) = 1
LCM(82831,82835) = ( 82831 × 82835) / 1
LCM(82831,82835) = 6861305885 / 1
LCM(82831,82835) = 6861305885

Least Common Multiple (LCM) of 82831 and 82835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82831 and 82835. First we will calculate the prime factors of 82831 and 82835.

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 82835

Prime factors of 82835 are 5, 16567. Prime factorization of 82835 in exponential form is:

82835 = 51 × 165671

Now multiplying the highest exponent prime factors to calculate the LCM of 82831 and 82835.

LCM(82831,82835) = 71 × 118331 × 51 × 165671
LCM(82831,82835) = 6861305885