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What is the Least Common Multiple of 81063 and 81073?

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 81063 and 81073 is 6572020599.

LCM(81063,81073) = 6572020599

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Least Common Multiple of 81063 and 81073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81063 and 81073, than apply into the LCM equation.

GCF(81063,81073) = 1
LCM(81063,81073) = ( 81063 × 81073) / 1
LCM(81063,81073) = 6572020599 / 1
LCM(81063,81073) = 6572020599

Least Common Multiple (LCM) of 81063 and 81073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81063 and 81073. First we will calculate the prime factors of 81063 and 81073.

Prime Factorization of 81063

Prime factors of 81063 are 3, 9007. Prime factorization of 81063 in exponential form is:

81063 = 32 × 90071

Prime Factorization of 81073

Prime factors of 81073 are 17, 19, 251. Prime factorization of 81073 in exponential form is:

81073 = 171 × 191 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 81063 and 81073.

LCM(81063,81073) = 32 × 90071 × 171 × 191 × 2511
LCM(81063,81073) = 6572020599