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What is the Least Common Multiple of 13741 and 13755?

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 13741 and 13755 is 27001065.

LCM(13741,13755) = 27001065

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Least Common Multiple of 13741 and 13755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13741 and 13755, than apply into the LCM equation.

GCF(13741,13755) = 7
LCM(13741,13755) = ( 13741 × 13755) / 7
LCM(13741,13755) = 189007455 / 7
LCM(13741,13755) = 27001065

Least Common Multiple (LCM) of 13741 and 13755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13741 and 13755. First we will calculate the prime factors of 13741 and 13755.

Prime Factorization of 13741

Prime factors of 13741 are 7, 13, 151. Prime factorization of 13741 in exponential form is:

13741 = 71 × 131 × 1511

Prime Factorization of 13755

Prime factors of 13755 are 3, 5, 7, 131. Prime factorization of 13755 in exponential form is:

13755 = 31 × 51 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13741 and 13755.

LCM(13741,13755) = 71 × 131 × 1511 × 31 × 51 × 1311
LCM(13741,13755) = 27001065