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What is the Least Common Multiple of 13452 and 13459?

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 13452 and 13459 is 181050468.

LCM(13452,13459) = 181050468

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Least Common Multiple of 13452 and 13459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13452 and 13459, than apply into the LCM equation.

GCF(13452,13459) = 1
LCM(13452,13459) = ( 13452 × 13459) / 1
LCM(13452,13459) = 181050468 / 1
LCM(13452,13459) = 181050468

Least Common Multiple (LCM) of 13452 and 13459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13452 and 13459. First we will calculate the prime factors of 13452 and 13459.

Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 22 × 31 × 191 × 591

Prime Factorization of 13459

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

13459 = 431 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 13452 and 13459.

LCM(13452,13459) = 22 × 31 × 191 × 591 × 431 × 3131
LCM(13452,13459) = 181050468