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What is the Least Common Multiple of 41084 and 41099?

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 41084 and 41099 is 1688511316.

LCM(41084,41099) = 1688511316

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Least Common Multiple of 41084 and 41099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41084 and 41099, than apply into the LCM equation.

GCF(41084,41099) = 1
LCM(41084,41099) = ( 41084 × 41099) / 1
LCM(41084,41099) = 1688511316 / 1
LCM(41084,41099) = 1688511316

Least Common Multiple (LCM) of 41084 and 41099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41084 and 41099. First we will calculate the prime factors of 41084 and 41099.

Prime Factorization of 41084

Prime factors of 41084 are 2, 10271. Prime factorization of 41084 in exponential form is:

41084 = 22 × 102711

Prime Factorization of 41099

Prime factors of 41099 are 73, 563. Prime factorization of 41099 in exponential form is:

41099 = 731 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 41084 and 41099.

LCM(41084,41099) = 22 × 102711 × 731 × 5631
LCM(41084,41099) = 1688511316