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What is the Least Common Multiple of 81051 and 81065?

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 81051 and 81065 is 6570399315.

LCM(81051,81065) = 6570399315

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Least Common Multiple of 81051 and 81065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81051 and 81065, than apply into the LCM equation.

GCF(81051,81065) = 1
LCM(81051,81065) = ( 81051 × 81065) / 1
LCM(81051,81065) = 6570399315 / 1
LCM(81051,81065) = 6570399315

Least Common Multiple (LCM) of 81051 and 81065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81051 and 81065. First we will calculate the prime factors of 81051 and 81065.

Prime Factorization of 81051

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

81051 = 31 × 270171

Prime Factorization of 81065

Prime factors of 81065 are 5, 31, 523. Prime factorization of 81065 in exponential form is:

81065 = 51 × 311 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 81051 and 81065.

LCM(81051,81065) = 31 × 270171 × 51 × 311 × 5231
LCM(81051,81065) = 6570399315