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What is the Least Common Multiple of 41068 and 41086?

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 41068 and 41086 is 843659924.

LCM(41068,41086) = 843659924

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Least Common Multiple of 41068 and 41086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41068 and 41086, than apply into the LCM equation.

GCF(41068,41086) = 2
LCM(41068,41086) = ( 41068 × 41086) / 2
LCM(41068,41086) = 1687319848 / 2
LCM(41068,41086) = 843659924

Least Common Multiple (LCM) of 41068 and 41086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41068 and 41086. First we will calculate the prime factors of 41068 and 41086.

Prime Factorization of 41068

Prime factors of 41068 are 2, 10267. Prime factorization of 41068 in exponential form is:

41068 = 22 × 102671

Prime Factorization of 41086

Prime factors of 41086 are 2, 20543. Prime factorization of 41086 in exponential form is:

41086 = 21 × 205431

Now multiplying the highest exponent prime factors to calculate the LCM of 41068 and 41086.

LCM(41068,41086) = 22 × 102671 × 205431
LCM(41068,41086) = 843659924