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What is the Least Common Multiple of 83867 and 83886?

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 83867 and 83886 is 7035267162.

LCM(83867,83886) = 7035267162

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Least Common Multiple of 83867 and 83886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83867 and 83886, than apply into the LCM equation.

GCF(83867,83886) = 1
LCM(83867,83886) = ( 83867 × 83886) / 1
LCM(83867,83886) = 7035267162 / 1
LCM(83867,83886) = 7035267162

Least Common Multiple (LCM) of 83867 and 83886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83867 and 83886. First we will calculate the prime factors of 83867 and 83886.

Prime Factorization of 83867

Prime factors of 83867 are 7, 11981. Prime factorization of 83867 in exponential form is:

83867 = 71 × 119811

Prime Factorization of 83886

Prime factors of 83886 are 2, 3, 11, 31, 41. Prime factorization of 83886 in exponential form is:

83886 = 21 × 31 × 111 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 83867 and 83886.

LCM(83867,83886) = 71 × 119811 × 21 × 31 × 111 × 311 × 411
LCM(83867,83886) = 7035267162