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What is the Least Common Multiple of 81127 and 81143?

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 81127 and 81143 is 6582888161.

LCM(81127,81143) = 6582888161

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Least Common Multiple of 81127 and 81143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81127 and 81143, than apply into the LCM equation.

GCF(81127,81143) = 1
LCM(81127,81143) = ( 81127 × 81143) / 1
LCM(81127,81143) = 6582888161 / 1
LCM(81127,81143) = 6582888161

Least Common Multiple (LCM) of 81127 and 81143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81127 and 81143. First we will calculate the prime factors of 81127 and 81143.

Prime Factorization of 81127

Prime factors of 81127 are 31, 2617. Prime factorization of 81127 in exponential form is:

81127 = 311 × 26171

Prime Factorization of 81143

Prime factors of 81143 are 53, 1531. Prime factorization of 81143 in exponential form is:

81143 = 531 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 81127 and 81143.

LCM(81127,81143) = 311 × 26171 × 531 × 15311
LCM(81127,81143) = 6582888161