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What is the Least Common Multiple of 17434 and 17445?

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 17434 and 17445 is 304136130.

LCM(17434,17445) = 304136130

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Least Common Multiple of 17434 and 17445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17434 and 17445, than apply into the LCM equation.

GCF(17434,17445) = 1
LCM(17434,17445) = ( 17434 × 17445) / 1
LCM(17434,17445) = 304136130 / 1
LCM(17434,17445) = 304136130

Least Common Multiple (LCM) of 17434 and 17445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17434 and 17445. First we will calculate the prime factors of 17434 and 17445.

Prime Factorization of 17434

Prime factors of 17434 are 2, 23, 379. Prime factorization of 17434 in exponential form is:

17434 = 21 × 231 × 3791

Prime Factorization of 17445

Prime factors of 17445 are 3, 5, 1163. Prime factorization of 17445 in exponential form is:

17445 = 31 × 51 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 17434 and 17445.

LCM(17434,17445) = 21 × 231 × 3791 × 31 × 51 × 11631
LCM(17434,17445) = 304136130