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What is the Least Common Multiple of 17445 and 17453?

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 17445 and 17453 is 304467585.

LCM(17445,17453) = 304467585

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Least Common Multiple of 17445 and 17453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17445 and 17453, than apply into the LCM equation.

GCF(17445,17453) = 1
LCM(17445,17453) = ( 17445 × 17453) / 1
LCM(17445,17453) = 304467585 / 1
LCM(17445,17453) = 304467585

Least Common Multiple (LCM) of 17445 and 17453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17445 and 17453. First we will calculate the prime factors of 17445 and 17453.

Prime Factorization of 17445

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

17445 = 31 × 51 × 11631

Prime Factorization of 17453

Prime factors of 17453 are 31, 563. Prime factorization of 17453 in exponential form is:

17453 = 311 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 17445 and 17453.

LCM(17445,17453) = 31 × 51 × 11631 × 311 × 5631
LCM(17445,17453) = 304467585