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What is the Least Common Multiple of 41017 and 41027?

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 41017 and 41027 is 1682804459.

LCM(41017,41027) = 1682804459

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Least Common Multiple of 41017 and 41027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41017 and 41027, than apply into the LCM equation.

GCF(41017,41027) = 1
LCM(41017,41027) = ( 41017 × 41027) / 1
LCM(41017,41027) = 1682804459 / 1
LCM(41017,41027) = 1682804459

Least Common Multiple (LCM) of 41017 and 41027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41017 and 41027. First we will calculate the prime factors of 41017 and 41027.

Prime Factorization of 41017

Prime factors of 41017 are 41017. Prime factorization of 41017 in exponential form is:

41017 = 410171

Prime Factorization of 41027

Prime factors of 41027 are 7, 5861. Prime factorization of 41027 in exponential form is:

41027 = 71 × 58611

Now multiplying the highest exponent prime factors to calculate the LCM of 41017 and 41027.

LCM(41017,41027) = 410171 × 71 × 58611
LCM(41017,41027) = 1682804459