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What is the Least Common Multiple of 41327 and 41343?

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 41327 and 41343 is 1708582161.

LCM(41327,41343) = 1708582161

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Least Common Multiple of 41327 and 41343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41327 and 41343, than apply into the LCM equation.

GCF(41327,41343) = 1
LCM(41327,41343) = ( 41327 × 41343) / 1
LCM(41327,41343) = 1708582161 / 1
LCM(41327,41343) = 1708582161

Least Common Multiple (LCM) of 41327 and 41343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41327 and 41343. First we will calculate the prime factors of 41327 and 41343.

Prime Factorization of 41327

Prime factors of 41327 are 11, 13, 17. Prime factorization of 41327 in exponential form is:

41327 = 111 × 131 × 172

Prime Factorization of 41343

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

41343 = 31 × 137811

Now multiplying the highest exponent prime factors to calculate the LCM of 41327 and 41343.

LCM(41327,41343) = 111 × 131 × 172 × 31 × 137811
LCM(41327,41343) = 1708582161