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What is the Least Common Multiple of 13043 and 13047?

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 13043 and 13047 is 170172021.

LCM(13043,13047) = 170172021

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Least Common Multiple of 13043 and 13047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13043 and 13047, than apply into the LCM equation.

GCF(13043,13047) = 1
LCM(13043,13047) = ( 13043 × 13047) / 1
LCM(13043,13047) = 170172021 / 1
LCM(13043,13047) = 170172021

Least Common Multiple (LCM) of 13043 and 13047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13043 and 13047. First we will calculate the prime factors of 13043 and 13047.

Prime Factorization of 13043

Prime factors of 13043 are 13043. Prime factorization of 13043 in exponential form is:

13043 = 130431

Prime Factorization of 13047

Prime factors of 13047 are 3, 4349. Prime factorization of 13047 in exponential form is:

13047 = 31 × 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 13043 and 13047.

LCM(13043,13047) = 130431 × 31 × 43491
LCM(13043,13047) = 170172021