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What is the Least Common Multiple of 13431 and 13441?

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 13431 and 13441 is 180526071.

LCM(13431,13441) = 180526071

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Least Common Multiple of 13431 and 13441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13431 and 13441, than apply into the LCM equation.

GCF(13431,13441) = 1
LCM(13431,13441) = ( 13431 × 13441) / 1
LCM(13431,13441) = 180526071 / 1
LCM(13431,13441) = 180526071

Least Common Multiple (LCM) of 13431 and 13441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13431 and 13441. First we will calculate the prime factors of 13431 and 13441.

Prime Factorization of 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 31 × 112 × 371

Prime Factorization of 13441

Prime factors of 13441 are 13441. Prime factorization of 13441 in exponential form is:

13441 = 134411

Now multiplying the highest exponent prime factors to calculate the LCM of 13431 and 13441.

LCM(13431,13441) = 31 × 112 × 371 × 134411
LCM(13431,13441) = 180526071