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What is the Least Common Multiple of 41343 and 41361?

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 41343 and 41361 is 569995941.

LCM(41343,41361) = 569995941

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Least Common Multiple of 41343 and 41361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41343 and 41361, than apply into the LCM equation.

GCF(41343,41361) = 3
LCM(41343,41361) = ( 41343 × 41361) / 3
LCM(41343,41361) = 1709987823 / 3
LCM(41343,41361) = 569995941

Least Common Multiple (LCM) of 41343 and 41361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41343 and 41361. First we will calculate the prime factors of 41343 and 41361.

Prime Factorization of 41343

Prime factors of 41343 are 3, 13781. Prime factorization of 41343 in exponential form is:

41343 = 31 × 137811

Prime Factorization of 41361

Prime factors of 41361 are 3, 17, 811. Prime factorization of 41361 in exponential form is:

41361 = 31 × 171 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 41343 and 41361.

LCM(41343,41361) = 31 × 137811 × 171 × 8111
LCM(41343,41361) = 569995941