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What is the Least Common Multiple of 13886 and 13902?

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 13886 and 13902 is 96521586.

LCM(13886,13902) = 96521586

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Least Common Multiple of 13886 and 13902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13886 and 13902, than apply into the LCM equation.

GCF(13886,13902) = 2
LCM(13886,13902) = ( 13886 × 13902) / 2
LCM(13886,13902) = 193043172 / 2
LCM(13886,13902) = 96521586

Least Common Multiple (LCM) of 13886 and 13902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13886 and 13902. First we will calculate the prime factors of 13886 and 13902.

Prime Factorization of 13886

Prime factors of 13886 are 2, 53, 131. Prime factorization of 13886 in exponential form is:

13886 = 21 × 531 × 1311

Prime Factorization of 13902

Prime factors of 13902 are 2, 3, 7, 331. Prime factorization of 13902 in exponential form is:

13902 = 21 × 31 × 71 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 13886 and 13902.

LCM(13886,13902) = 21 × 531 × 1311 × 31 × 71 × 3311
LCM(13886,13902) = 96521586