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What is the Least Common Multiple of 81017 and 81034?

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 81017 and 81034 is 6565131578.

LCM(81017,81034) = 6565131578

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Least Common Multiple of 81017 and 81034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81017 and 81034, than apply into the LCM equation.

GCF(81017,81034) = 1
LCM(81017,81034) = ( 81017 × 81034) / 1
LCM(81017,81034) = 6565131578 / 1
LCM(81017,81034) = 6565131578

Least Common Multiple (LCM) of 81017 and 81034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81017 and 81034. First we will calculate the prime factors of 81017 and 81034.

Prime Factorization of 81017

Prime factors of 81017 are 81017. Prime factorization of 81017 in exponential form is:

81017 = 810171

Prime Factorization of 81034

Prime factors of 81034 are 2, 31, 1307. Prime factorization of 81034 in exponential form is:

81034 = 21 × 311 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 81017 and 81034.

LCM(81017,81034) = 810171 × 21 × 311 × 13071
LCM(81017,81034) = 6565131578