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What is the Least Common Multiple of 41801 and 41806?

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 41801 and 41806 is 1747532606.

LCM(41801,41806) = 1747532606

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Least Common Multiple of 41801 and 41806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41801 and 41806, than apply into the LCM equation.

GCF(41801,41806) = 1
LCM(41801,41806) = ( 41801 × 41806) / 1
LCM(41801,41806) = 1747532606 / 1
LCM(41801,41806) = 1747532606

Least Common Multiple (LCM) of 41801 and 41806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41801 and 41806. First we will calculate the prime factors of 41801 and 41806.

Prime Factorization of 41801

Prime factors of 41801 are 41801. Prime factorization of 41801 in exponential form is:

41801 = 418011

Prime Factorization of 41806

Prime factors of 41806 are 2, 20903. Prime factorization of 41806 in exponential form is:

41806 = 21 × 209031

Now multiplying the highest exponent prime factors to calculate the LCM of 41801 and 41806.

LCM(41801,41806) = 418011 × 21 × 209031
LCM(41801,41806) = 1747532606