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What is the Least Common Multiple of 83858 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 83858 and 83873 is 7033422034.

LCM(83858,83873) = 7033422034

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Least Common Multiple of 83858 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 83858 and 83873, than apply into the LCM equation.

GCF(83858,83873) = 1
LCM(83858,83873) = ( 83858 × 83873) / 1
LCM(83858,83873) = 7033422034 / 1
LCM(83858,83873) = 7033422034

Least Common Multiple (LCM) of 83858 and 83873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83858 and 83873. First we will calculate the prime factors of 83858 and 83873.

Prime Factorization of 83858

Prime factors of 83858 are 2, 23, 1823. Prime factorization of 83858 in exponential form is:

83858 = 21 × 231 × 18231

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 83858 and 83873.

LCM(83858,83873) = 21 × 231 × 18231 × 838731
LCM(83858,83873) = 7033422034