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What is the Least Common Multiple of 81086 and 81097?

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 81086 and 81097 is 6575831342.

LCM(81086,81097) = 6575831342

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Least Common Multiple of 81086 and 81097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81086 and 81097, than apply into the LCM equation.

GCF(81086,81097) = 1
LCM(81086,81097) = ( 81086 × 81097) / 1
LCM(81086,81097) = 6575831342 / 1
LCM(81086,81097) = 6575831342

Least Common Multiple (LCM) of 81086 and 81097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81086 and 81097. First we will calculate the prime factors of 81086 and 81097.

Prime Factorization of 81086

Prime factors of 81086 are 2, 40543. Prime factorization of 81086 in exponential form is:

81086 = 21 × 405431

Prime Factorization of 81097

Prime factors of 81097 are 81097. Prime factorization of 81097 in exponential form is:

81097 = 810971

Now multiplying the highest exponent prime factors to calculate the LCM of 81086 and 81097.

LCM(81086,81097) = 21 × 405431 × 810971
LCM(81086,81097) = 6575831342