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What is the Least Common Multiple of 17331 and 17342?

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 17331 and 17342 is 300554202.

LCM(17331,17342) = 300554202

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Least Common Multiple of 17331 and 17342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17331 and 17342, than apply into the LCM equation.

GCF(17331,17342) = 1
LCM(17331,17342) = ( 17331 × 17342) / 1
LCM(17331,17342) = 300554202 / 1
LCM(17331,17342) = 300554202

Least Common Multiple (LCM) of 17331 and 17342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17331 and 17342. First we will calculate the prime factors of 17331 and 17342.

Prime Factorization of 17331

Prime factors of 17331 are 3, 53, 109. Prime factorization of 17331 in exponential form is:

17331 = 31 × 531 × 1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17331 and 17342.

LCM(17331,17342) = 31 × 531 × 1091 × 21 × 131 × 231 × 291
LCM(17331,17342) = 300554202