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What is the Least Common Multiple of 81283 and 81287?

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 81283 and 81287 is 6607251221.

LCM(81283,81287) = 6607251221

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Least Common Multiple of 81283 and 81287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81283 and 81287, than apply into the LCM equation.

GCF(81283,81287) = 1
LCM(81283,81287) = ( 81283 × 81287) / 1
LCM(81283,81287) = 6607251221 / 1
LCM(81283,81287) = 6607251221

Least Common Multiple (LCM) of 81283 and 81287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81283 and 81287. First we will calculate the prime factors of 81283 and 81287.

Prime Factorization of 81283

Prime factors of 81283 are 81283. Prime factorization of 81283 in exponential form is:

81283 = 812831

Prime Factorization of 81287

Prime factors of 81287 are 29, 2803. Prime factorization of 81287 in exponential form is:

81287 = 291 × 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 81283 and 81287.

LCM(81283,81287) = 812831 × 291 × 28031
LCM(81283,81287) = 6607251221