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What is the Least Common Multiple of 41381 and 41399?

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 41381 and 41399 is 1713132019.

LCM(41381,41399) = 1713132019

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Least Common Multiple of 41381 and 41399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41381 and 41399, than apply into the LCM equation.

GCF(41381,41399) = 1
LCM(41381,41399) = ( 41381 × 41399) / 1
LCM(41381,41399) = 1713132019 / 1
LCM(41381,41399) = 1713132019

Least Common Multiple (LCM) of 41381 and 41399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41381 and 41399. First we will calculate the prime factors of 41381 and 41399.

Prime Factorization of 41381

Prime factors of 41381 are 41381. Prime factorization of 41381 in exponential form is:

41381 = 413811

Prime Factorization of 41399

Prime factors of 41399 are 41399. Prime factorization of 41399 in exponential form is:

41399 = 413991

Now multiplying the highest exponent prime factors to calculate the LCM of 41381 and 41399.

LCM(41381,41399) = 413811 × 413991
LCM(41381,41399) = 1713132019