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What is the Least Common Multiple of 81167 and 81181?

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 81167 and 81181 is 6589218227.

LCM(81167,81181) = 6589218227

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Least Common Multiple of 81167 and 81181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81167 and 81181, than apply into the LCM equation.

GCF(81167,81181) = 1
LCM(81167,81181) = ( 81167 × 81181) / 1
LCM(81167,81181) = 6589218227 / 1
LCM(81167,81181) = 6589218227

Least Common Multiple (LCM) of 81167 and 81181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81167 and 81181. First we will calculate the prime factors of 81167 and 81181.

Prime Factorization of 81167

Prime factors of 81167 are 23, 3529. Prime factorization of 81167 in exponential form is:

81167 = 231 × 35291

Prime Factorization of 81181

Prime factors of 81181 are 81181. Prime factorization of 81181 in exponential form is:

81181 = 811811

Now multiplying the highest exponent prime factors to calculate the LCM of 81167 and 81181.

LCM(81167,81181) = 231 × 35291 × 811811
LCM(81167,81181) = 6589218227