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What is the Least Common Multiple of 81127 and 81137?

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 81137 is 6582401399.

LCM(81127,81137) = 6582401399

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Least Common Multiple of 81127 and 81137 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 81137, than apply into the LCM equation.

GCF(81127,81137) = 1
LCM(81127,81137) = ( 81127 × 81137) / 1
LCM(81127,81137) = 6582401399 / 1
LCM(81127,81137) = 6582401399

Least Common Multiple (LCM) of 81127 and 81137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81127 and 81137. First we will calculate the prime factors of 81127 and 81137.

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 81137

Prime factors of 81137 are 7, 67, 173. Prime factorization of 81137 in exponential form is:

81137 = 71 × 671 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 81127 and 81137.

LCM(81127,81137) = 311 × 26171 × 71 × 671 × 1731
LCM(81127,81137) = 6582401399