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What is the Least Common Multiple of 13829 and 13834?

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 13829 and 13834 is 191310386.

LCM(13829,13834) = 191310386

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Least Common Multiple of 13829 and 13834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13829 and 13834, than apply into the LCM equation.

GCF(13829,13834) = 1
LCM(13829,13834) = ( 13829 × 13834) / 1
LCM(13829,13834) = 191310386 / 1
LCM(13829,13834) = 191310386

Least Common Multiple (LCM) of 13829 and 13834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13829 and 13834. First we will calculate the prime factors of 13829 and 13834.

Prime Factorization of 13829

Prime factors of 13829 are 13829. Prime factorization of 13829 in exponential form is:

13829 = 138291

Prime Factorization of 13834

Prime factors of 13834 are 2, 6917. Prime factorization of 13834 in exponential form is:

13834 = 21 × 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 13829 and 13834.

LCM(13829,13834) = 138291 × 21 × 69171
LCM(13829,13834) = 191310386