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What is the Least Common Multiple of 17245 and 17262?

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 17262 is 297683190.

LCM(17245,17262) = 297683190

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Least Common Multiple of 17245 and 17262 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 17262, than apply into the LCM equation.

GCF(17245,17262) = 1
LCM(17245,17262) = ( 17245 × 17262) / 1
LCM(17245,17262) = 297683190 / 1
LCM(17245,17262) = 297683190

Least Common Multiple (LCM) of 17245 and 17262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17245 and 17262. First we will calculate the prime factors of 17245 and 17262.

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 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 21 × 32 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17245 and 17262.

LCM(17245,17262) = 51 × 34491 × 21 × 32 × 71 × 1371
LCM(17245,17262) = 297683190