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What is the Least Common Multiple of 81067 and 81071?

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 81067 and 81071 is 6572182757.

LCM(81067,81071) = 6572182757

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Least Common Multiple of 81067 and 81071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81067 and 81071, than apply into the LCM equation.

GCF(81067,81071) = 1
LCM(81067,81071) = ( 81067 × 81071) / 1
LCM(81067,81071) = 6572182757 / 1
LCM(81067,81071) = 6572182757

Least Common Multiple (LCM) of 81067 and 81071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81067 and 81071. First we will calculate the prime factors of 81067 and 81071.

Prime Factorization of 81067

Prime factors of 81067 are 7, 37, 313. Prime factorization of 81067 in exponential form is:

81067 = 71 × 371 × 3131

Prime Factorization of 81071

Prime factors of 81071 are 81071. Prime factorization of 81071 in exponential form is:

81071 = 810711

Now multiplying the highest exponent prime factors to calculate the LCM of 81067 and 81071.

LCM(81067,81071) = 71 × 371 × 3131 × 810711
LCM(81067,81071) = 6572182757