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What is the Least Common Multiple of 17342 and 17354?

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 17342 and 17354 is 150476534.

LCM(17342,17354) = 150476534

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Least Common Multiple of 17342 and 17354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17342 and 17354, than apply into the LCM equation.

GCF(17342,17354) = 2
LCM(17342,17354) = ( 17342 × 17354) / 2
LCM(17342,17354) = 300953068 / 2
LCM(17342,17354) = 150476534

Least Common Multiple (LCM) of 17342 and 17354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17342 and 17354. First we will calculate the prime factors of 17342 and 17354.

Prime Factorization of 17342

Prime factors of 17342 are 2, 13, 23, 29. Prime factorization of 17342 in exponential form is:

17342 = 21 × 131 × 231 × 291

Prime Factorization of 17354

Prime factors of 17354 are 2, 8677. Prime factorization of 17354 in exponential form is:

17354 = 21 × 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 17342 and 17354.

LCM(17342,17354) = 21 × 131 × 231 × 291 × 86771
LCM(17342,17354) = 150476534