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What is the Least Common Multiple of 81211 and 81226?

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 81211 and 81226 is 6596444686.

LCM(81211,81226) = 6596444686

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Least Common Multiple of 81211 and 81226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81211 and 81226, than apply into the LCM equation.

GCF(81211,81226) = 1
LCM(81211,81226) = ( 81211 × 81226) / 1
LCM(81211,81226) = 6596444686 / 1
LCM(81211,81226) = 6596444686

Least Common Multiple (LCM) of 81211 and 81226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81211 and 81226. First we will calculate the prime factors of 81211 and 81226.

Prime Factorization of 81211

Prime factors of 81211 are 13, 6247. Prime factorization of 81211 in exponential form is:

81211 = 131 × 62471

Prime Factorization of 81226

Prime factors of 81226 are 2, 17, 2389. Prime factorization of 81226 in exponential form is:

81226 = 21 × 171 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 81211 and 81226.

LCM(81211,81226) = 131 × 62471 × 21 × 171 × 23891
LCM(81211,81226) = 6596444686