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What is the Least Common Multiple of 41363 and 41371?

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 41363 and 41371 is 1711228673.

LCM(41363,41371) = 1711228673

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Least Common Multiple of 41363 and 41371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41363 and 41371, than apply into the LCM equation.

GCF(41363,41371) = 1
LCM(41363,41371) = ( 41363 × 41371) / 1
LCM(41363,41371) = 1711228673 / 1
LCM(41363,41371) = 1711228673

Least Common Multiple (LCM) of 41363 and 41371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41363 and 41371. First we will calculate the prime factors of 41363 and 41371.

Prime Factorization of 41363

Prime factors of 41363 are 7, 19, 311. Prime factorization of 41363 in exponential form is:

41363 = 71 × 191 × 3111

Prime Factorization of 41371

Prime factors of 41371 are 11, 3761. Prime factorization of 41371 in exponential form is:

41371 = 111 × 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 41363 and 41371.

LCM(41363,41371) = 71 × 191 × 3111 × 111 × 37611
LCM(41363,41371) = 1711228673