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What is the Least Common Multiple of 13459 and 13471?

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 13459 and 13471 is 181306189.

LCM(13459,13471) = 181306189

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Least Common Multiple of 13459 and 13471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13459 and 13471, than apply into the LCM equation.

GCF(13459,13471) = 1
LCM(13459,13471) = ( 13459 × 13471) / 1
LCM(13459,13471) = 181306189 / 1
LCM(13459,13471) = 181306189

Least Common Multiple (LCM) of 13459 and 13471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13459 and 13471. First we will calculate the prime factors of 13459 and 13471.

Prime Factorization of 13459

Prime factors of 13459 are 43, 313. Prime factorization of 13459 in exponential form is:

13459 = 431 × 3131

Prime Factorization of 13471

Prime factors of 13471 are 19, 709. Prime factorization of 13471 in exponential form is:

13471 = 191 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 13459 and 13471.

LCM(13459,13471) = 431 × 3131 × 191 × 7091
LCM(13459,13471) = 181306189