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What is the Least Common Multiple of 41857 and 41863?

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 41857 and 41863 is 1752259591.

LCM(41857,41863) = 1752259591

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Least Common Multiple of 41857 and 41863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41857 and 41863, than apply into the LCM equation.

GCF(41857,41863) = 1
LCM(41857,41863) = ( 41857 × 41863) / 1
LCM(41857,41863) = 1752259591 / 1
LCM(41857,41863) = 1752259591

Least Common Multiple (LCM) of 41857 and 41863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41857 and 41863. First we will calculate the prime factors of 41857 and 41863.

Prime Factorization of 41857

Prime factors of 41857 are 19, 2203. Prime factorization of 41857 in exponential form is:

41857 = 191 × 22031

Prime Factorization of 41863

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

41863 = 418631

Now multiplying the highest exponent prime factors to calculate the LCM of 41857 and 41863.

LCM(41857,41863) = 191 × 22031 × 418631
LCM(41857,41863) = 1752259591