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What is the Least Common Multiple of 13849 and 13858?

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 13858 is 191919442.

LCM(13849,13858) = 191919442

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Least Common Multiple of 13849 and 13858 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 13858, than apply into the LCM equation.

GCF(13849,13858) = 1
LCM(13849,13858) = ( 13849 × 13858) / 1
LCM(13849,13858) = 191919442 / 1
LCM(13849,13858) = 191919442

Least Common Multiple (LCM) of 13849 and 13858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13849 and 13858. First we will calculate the prime factors of 13849 and 13858.

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 13858

Prime factors of 13858 are 2, 13, 41. Prime factorization of 13858 in exponential form is:

13858 = 21 × 132 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13849 and 13858.

LCM(13849,13858) = 111 × 12591 × 21 × 132 × 411
LCM(13849,13858) = 191919442