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What is the Least Common Multiple of 83891 and 83911?

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 83891 and 83911 is 7039377701.

LCM(83891,83911) = 7039377701

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Least Common Multiple of 83891 and 83911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83891 and 83911, than apply into the LCM equation.

GCF(83891,83911) = 1
LCM(83891,83911) = ( 83891 × 83911) / 1
LCM(83891,83911) = 7039377701 / 1
LCM(83891,83911) = 7039377701

Least Common Multiple (LCM) of 83891 and 83911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83891 and 83911. First we will calculate the prime factors of 83891 and 83911.

Prime Factorization of 83891

Prime factors of 83891 are 83891. Prime factorization of 83891 in exponential form is:

83891 = 838911

Prime Factorization of 83911

Prime factors of 83911 are 83911. Prime factorization of 83911 in exponential form is:

83911 = 839111

Now multiplying the highest exponent prime factors to calculate the LCM of 83891 and 83911.

LCM(83891,83911) = 838911 × 839111
LCM(83891,83911) = 7039377701