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What is the Least Common Multiple of 83866 and 83873?

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 83866 and 83873 is 7034093018.

LCM(83866,83873) = 7034093018

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Least Common Multiple of 83866 and 83873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83866 and 83873, than apply into the LCM equation.

GCF(83866,83873) = 1
LCM(83866,83873) = ( 83866 × 83873) / 1
LCM(83866,83873) = 7034093018 / 1
LCM(83866,83873) = 7034093018

Least Common Multiple (LCM) of 83866 and 83873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83866 and 83873. First we will calculate the prime factors of 83866 and 83873.

Prime Factorization of 83866

Prime factors of 83866 are 2, 19, 2207. Prime factorization of 83866 in exponential form is:

83866 = 21 × 191 × 22071

Prime Factorization of 83873

Prime factors of 83873 are 83873. Prime factorization of 83873 in exponential form is:

83873 = 838731

Now multiplying the highest exponent prime factors to calculate the LCM of 83866 and 83873.

LCM(83866,83873) = 21 × 191 × 22071 × 838731
LCM(83866,83873) = 7034093018