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What is the Least Common Multiple of 41863 and 41873?

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 41863 and 41873 is 1752929399.

LCM(41863,41873) = 1752929399

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Least Common Multiple of 41863 and 41873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41863 and 41873, than apply into the LCM equation.

GCF(41863,41873) = 1
LCM(41863,41873) = ( 41863 × 41873) / 1
LCM(41863,41873) = 1752929399 / 1
LCM(41863,41873) = 1752929399

Least Common Multiple (LCM) of 41863 and 41873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41863 and 41873. First we will calculate the prime factors of 41863 and 41873.

Prime Factorization of 41863

Prime factors of 41863 are 41863. Prime factorization of 41863 in exponential form is:

41863 = 418631

Prime Factorization of 41873

Prime factors of 41873 are 13, 3221. Prime factorization of 41873 in exponential form is:

41873 = 131 × 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 41863 and 41873.

LCM(41863,41873) = 418631 × 131 × 32211
LCM(41863,41873) = 1752929399