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What is the Least Common Multiple of 81027 and 81031?

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 81027 and 81031 is 6565698837.

LCM(81027,81031) = 6565698837

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Least Common Multiple of 81027 and 81031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81027 and 81031, than apply into the LCM equation.

GCF(81027,81031) = 1
LCM(81027,81031) = ( 81027 × 81031) / 1
LCM(81027,81031) = 6565698837 / 1
LCM(81027,81031) = 6565698837

Least Common Multiple (LCM) of 81027 and 81031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81027 and 81031. First we will calculate the prime factors of 81027 and 81031.

Prime Factorization of 81027

Prime factors of 81027 are 3, 3001. Prime factorization of 81027 in exponential form is:

81027 = 33 × 30011

Prime Factorization of 81031

Prime factors of 81031 are 81031. Prime factorization of 81031 in exponential form is:

81031 = 810311

Now multiplying the highest exponent prime factors to calculate the LCM of 81027 and 81031.

LCM(81027,81031) = 33 × 30011 × 810311
LCM(81027,81031) = 6565698837