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What is the Least Common Multiple of 81037 and 81051?

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 81037 and 81051 is 6568129887.

LCM(81037,81051) = 6568129887

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Least Common Multiple of 81037 and 81051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81037 and 81051, than apply into the LCM equation.

GCF(81037,81051) = 1
LCM(81037,81051) = ( 81037 × 81051) / 1
LCM(81037,81051) = 6568129887 / 1
LCM(81037,81051) = 6568129887

Least Common Multiple (LCM) of 81037 and 81051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81037 and 81051. First we will calculate the prime factors of 81037 and 81051.

Prime Factorization of 81037

Prime factors of 81037 are 11, 53, 139. Prime factorization of 81037 in exponential form is:

81037 = 111 × 531 × 1391

Prime Factorization of 81051

Prime factors of 81051 are 3, 27017. Prime factorization of 81051 in exponential form is:

81051 = 31 × 270171

Now multiplying the highest exponent prime factors to calculate the LCM of 81037 and 81051.

LCM(81037,81051) = 111 × 531 × 1391 × 31 × 270171
LCM(81037,81051) = 6568129887