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What is the Least Common Multiple of 17343 and 17352?

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 17343 and 17352 is 33437304.

LCM(17343,17352) = 33437304

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Least Common Multiple of 17343 and 17352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17343 and 17352, than apply into the LCM equation.

GCF(17343,17352) = 9
LCM(17343,17352) = ( 17343 × 17352) / 9
LCM(17343,17352) = 300935736 / 9
LCM(17343,17352) = 33437304

Least Common Multiple (LCM) of 17343 and 17352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17343 and 17352. First we will calculate the prime factors of 17343 and 17352.

Prime Factorization of 17343

Prime factors of 17343 are 3, 41, 47. Prime factorization of 17343 in exponential form is:

17343 = 32 × 411 × 471

Prime Factorization of 17352

Prime factors of 17352 are 2, 3, 241. Prime factorization of 17352 in exponential form is:

17352 = 23 × 32 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 17343 and 17352.

LCM(17343,17352) = 32 × 411 × 471 × 23 × 2411
LCM(17343,17352) = 33437304