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What is the Least Common Multiple of 81643 and 81655?

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 81643 and 81655 is 6666559165.

LCM(81643,81655) = 6666559165

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Least Common Multiple of 81643 and 81655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81643 and 81655, than apply into the LCM equation.

GCF(81643,81655) = 1
LCM(81643,81655) = ( 81643 × 81655) / 1
LCM(81643,81655) = 6666559165 / 1
LCM(81643,81655) = 6666559165

Least Common Multiple (LCM) of 81643 and 81655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81643 and 81655. First we will calculate the prime factors of 81643 and 81655.

Prime Factorization of 81643

Prime factors of 81643 are 19, 4297. Prime factorization of 81643 in exponential form is:

81643 = 191 × 42971

Prime Factorization of 81655

Prime factors of 81655 are 5, 7, 2333. Prime factorization of 81655 in exponential form is:

81655 = 51 × 71 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 81643 and 81655.

LCM(81643,81655) = 191 × 42971 × 51 × 71 × 23331
LCM(81643,81655) = 6666559165