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What is the Least Common Multiple of 13840 and 13849?

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 13840 and 13849 is 191670160.

LCM(13840,13849) = 191670160

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Least Common Multiple of 13840 and 13849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13840 and 13849, than apply into the LCM equation.

GCF(13840,13849) = 1
LCM(13840,13849) = ( 13840 × 13849) / 1
LCM(13840,13849) = 191670160 / 1
LCM(13840,13849) = 191670160

Least Common Multiple (LCM) of 13840 and 13849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13840 and 13849. First we will calculate the prime factors of 13840 and 13849.

Prime Factorization of 13840

Prime factors of 13840 are 2, 5, 173. Prime factorization of 13840 in exponential form is:

13840 = 24 × 51 × 1731

Prime Factorization of 13849

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

13849 = 111 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 13840 and 13849.

LCM(13840,13849) = 24 × 51 × 1731 × 111 × 12591
LCM(13840,13849) = 191670160