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What is the Least Common Multiple of 13838 and 13847?

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 13838 and 13847 is 191614786.

LCM(13838,13847) = 191614786

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Least Common Multiple of 13838 and 13847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13838 and 13847, than apply into the LCM equation.

GCF(13838,13847) = 1
LCM(13838,13847) = ( 13838 × 13847) / 1
LCM(13838,13847) = 191614786 / 1
LCM(13838,13847) = 191614786

Least Common Multiple (LCM) of 13838 and 13847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13838 and 13847. First we will calculate the prime factors of 13838 and 13847.

Prime Factorization of 13838

Prime factors of 13838 are 2, 11, 17, 37. Prime factorization of 13838 in exponential form is:

13838 = 21 × 111 × 171 × 371

Prime Factorization of 13847

Prime factors of 13847 are 61, 227. Prime factorization of 13847 in exponential form is:

13847 = 611 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 13838 and 13847.

LCM(13838,13847) = 21 × 111 × 171 × 371 × 611 × 2271
LCM(13838,13847) = 191614786