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What is the Least Common Multiple of 83831 and 83841?

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 83831 and 83841 is 7028474871.

LCM(83831,83841) = 7028474871

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Least Common Multiple of 83831 and 83841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83831 and 83841, than apply into the LCM equation.

GCF(83831,83841) = 1
LCM(83831,83841) = ( 83831 × 83841) / 1
LCM(83831,83841) = 7028474871 / 1
LCM(83831,83841) = 7028474871

Least Common Multiple (LCM) of 83831 and 83841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83831 and 83841. First we will calculate the prime factors of 83831 and 83841.

Prime Factorization of 83831

Prime factors of 83831 are 11, 7621. Prime factorization of 83831 in exponential form is:

83831 = 111 × 76211

Prime Factorization of 83841

Prime factors of 83841 are 3, 27947. Prime factorization of 83841 in exponential form is:

83841 = 31 × 279471

Now multiplying the highest exponent prime factors to calculate the LCM of 83831 and 83841.

LCM(83831,83841) = 111 × 76211 × 31 × 279471
LCM(83831,83841) = 7028474871