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What is the Least Common Multiple of 83047 and 83067?

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 83047 and 83067 is 6898465149.

LCM(83047,83067) = 6898465149

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Least Common Multiple of 83047 and 83067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83047 and 83067, than apply into the LCM equation.

GCF(83047,83067) = 1
LCM(83047,83067) = ( 83047 × 83067) / 1
LCM(83047,83067) = 6898465149 / 1
LCM(83047,83067) = 6898465149

Least Common Multiple (LCM) of 83047 and 83067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83047 and 83067. First we will calculate the prime factors of 83047 and 83067.

Prime Factorization of 83047

Prime factors of 83047 are 83047. Prime factorization of 83047 in exponential form is:

83047 = 830471

Prime Factorization of 83067

Prime factors of 83067 are 3, 27689. Prime factorization of 83067 in exponential form is:

83067 = 31 × 276891

Now multiplying the highest exponent prime factors to calculate the LCM of 83047 and 83067.

LCM(83047,83067) = 830471 × 31 × 276891
LCM(83047,83067) = 6898465149