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What is the Least Common Multiple of 41863 and 41881?

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 41881 is 1753264303.

LCM(41863,41881) = 1753264303

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Least Common Multiple of 41863 and 41881 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 41881, than apply into the LCM equation.

GCF(41863,41881) = 1
LCM(41863,41881) = ( 41863 × 41881) / 1
LCM(41863,41881) = 1753264303 / 1
LCM(41863,41881) = 1753264303

Least Common Multiple (LCM) of 41863 and 41881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41863 and 41881. First we will calculate the prime factors of 41863 and 41881.

Prime Factorization of 41863

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

41863 = 418631

Prime Factorization of 41881

Prime factors of 41881 are 7, 31, 193. Prime factorization of 41881 in exponential form is:

41881 = 71 × 311 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 41863 and 41881.

LCM(41863,41881) = 418631 × 71 × 311 × 1931
LCM(41863,41881) = 1753264303