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What is the Least Common Multiple of 13434 and 13439?

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 13434 and 13439 is 180539526.

LCM(13434,13439) = 180539526

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Least Common Multiple of 13434 and 13439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13434 and 13439, than apply into the LCM equation.

GCF(13434,13439) = 1
LCM(13434,13439) = ( 13434 × 13439) / 1
LCM(13434,13439) = 180539526 / 1
LCM(13434,13439) = 180539526

Least Common Multiple (LCM) of 13434 and 13439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13434 and 13439. First we will calculate the prime factors of 13434 and 13439.

Prime Factorization of 13434

Prime factors of 13434 are 2, 3, 2239. Prime factorization of 13434 in exponential form is:

13434 = 21 × 31 × 22391

Prime Factorization of 13439

Prime factors of 13439 are 89, 151. Prime factorization of 13439 in exponential form is:

13439 = 891 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 13434 and 13439.

LCM(13434,13439) = 21 × 31 × 22391 × 891 × 1511
LCM(13434,13439) = 180539526