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What is the Least Common Multiple of 13849 and 13865?

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 13849 and 13865 is 192016385.

LCM(13849,13865) = 192016385

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Least Common Multiple of 13849 and 13865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13849 and 13865, than apply into the LCM equation.

GCF(13849,13865) = 1
LCM(13849,13865) = ( 13849 × 13865) / 1
LCM(13849,13865) = 192016385 / 1
LCM(13849,13865) = 192016385

Least Common Multiple (LCM) of 13849 and 13865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13849 and 13865. First we will calculate the prime factors of 13849 and 13865.

Prime Factorization of 13849

Prime factors of 13849 are 11, 1259. Prime factorization of 13849 in exponential form is:

13849 = 111 × 12591

Prime Factorization of 13865

Prime factors of 13865 are 5, 47, 59. Prime factorization of 13865 in exponential form is:

13865 = 51 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 13849 and 13865.

LCM(13849,13865) = 111 × 12591 × 51 × 471 × 591
LCM(13849,13865) = 192016385