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What is the Least Common Multiple of 17245 and 17254?

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 17245 and 17254 is 297545230.

LCM(17245,17254) = 297545230

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Least Common Multiple of 17245 and 17254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17245 and 17254, than apply into the LCM equation.

GCF(17245,17254) = 1
LCM(17245,17254) = ( 17245 × 17254) / 1
LCM(17245,17254) = 297545230 / 1
LCM(17245,17254) = 297545230

Least Common Multiple (LCM) of 17245 and 17254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17245 and 17254. First we will calculate the prime factors of 17245 and 17254.

Prime Factorization of 17245

Prime factors of 17245 are 5, 3449. Prime factorization of 17245 in exponential form is:

17245 = 51 × 34491

Prime Factorization of 17254

Prime factors of 17254 are 2, 8627. Prime factorization of 17254 in exponential form is:

17254 = 21 × 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 17245 and 17254.

LCM(17245,17254) = 51 × 34491 × 21 × 86271
LCM(17245,17254) = 297545230