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What is the Least Common Multiple of 17329 and 17348?

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 17329 and 17348 is 300623492.

LCM(17329,17348) = 300623492

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Least Common Multiple of 17329 and 17348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17329 and 17348, than apply into the LCM equation.

GCF(17329,17348) = 1
LCM(17329,17348) = ( 17329 × 17348) / 1
LCM(17329,17348) = 300623492 / 1
LCM(17329,17348) = 300623492

Least Common Multiple (LCM) of 17329 and 17348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17329 and 17348. First we will calculate the prime factors of 17329 and 17348.

Prime Factorization of 17329

Prime factors of 17329 are 13, 31, 43. Prime factorization of 17329 in exponential form is:

17329 = 131 × 311 × 431

Prime Factorization of 17348

Prime factors of 17348 are 2, 4337. Prime factorization of 17348 in exponential form is:

17348 = 22 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 17329 and 17348.

LCM(17329,17348) = 131 × 311 × 431 × 22 × 43371
LCM(17329,17348) = 300623492