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What is the Least Common Multiple of 13849 and 13866?

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 13866 is 192030234.

LCM(13849,13866) = 192030234

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Least Common Multiple of 13849 and 13866 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 13866, than apply into the LCM equation.

GCF(13849,13866) = 1
LCM(13849,13866) = ( 13849 × 13866) / 1
LCM(13849,13866) = 192030234 / 1
LCM(13849,13866) = 192030234

Least Common Multiple (LCM) of 13849 and 13866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13849 and 13866. First we will calculate the prime factors of 13849 and 13866.

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 13866

Prime factors of 13866 are 2, 3, 2311. Prime factorization of 13866 in exponential form is:

13866 = 21 × 31 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 13849 and 13866.

LCM(13849,13866) = 111 × 12591 × 21 × 31 × 23111
LCM(13849,13866) = 192030234