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What is the Least Common Multiple of 83841 and 83861?

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 83841 and 83861 is 7030990101.

LCM(83841,83861) = 7030990101

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Least Common Multiple of 83841 and 83861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83841 and 83861, than apply into the LCM equation.

GCF(83841,83861) = 1
LCM(83841,83861) = ( 83841 × 83861) / 1
LCM(83841,83861) = 7030990101 / 1
LCM(83841,83861) = 7030990101

Least Common Multiple (LCM) of 83841 and 83861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83841 and 83861. First we will calculate the prime factors of 83841 and 83861.

Prime Factorization of 83841

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

83841 = 31 × 279471

Prime Factorization of 83861

Prime factors of 83861 are 17, 4933. Prime factorization of 83861 in exponential form is:

83861 = 171 × 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 83841 and 83861.

LCM(83841,83861) = 31 × 279471 × 171 × 49331
LCM(83841,83861) = 7030990101