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What is the Least Common Multiple of 83396 and 83401?

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 83396 and 83401 is 6955309796.

LCM(83396,83401) = 6955309796

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Least Common Multiple of 83396 and 83401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83396 and 83401, than apply into the LCM equation.

GCF(83396,83401) = 1
LCM(83396,83401) = ( 83396 × 83401) / 1
LCM(83396,83401) = 6955309796 / 1
LCM(83396,83401) = 6955309796

Least Common Multiple (LCM) of 83396 and 83401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83396 and 83401. First we will calculate the prime factors of 83396 and 83401.

Prime Factorization of 83396

Prime factors of 83396 are 2, 20849. Prime factorization of 83396 in exponential form is:

83396 = 22 × 208491

Prime Factorization of 83401

Prime factors of 83401 are 83401. Prime factorization of 83401 in exponential form is:

83401 = 834011

Now multiplying the highest exponent prime factors to calculate the LCM of 83396 and 83401.

LCM(83396,83401) = 22 × 208491 × 834011
LCM(83396,83401) = 6955309796