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What is the Least Common Multiple of 13798 and 13811?

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 13798 and 13811 is 190564178.

LCM(13798,13811) = 190564178

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Least Common Multiple of 13798 and 13811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13798 and 13811, than apply into the LCM equation.

GCF(13798,13811) = 1
LCM(13798,13811) = ( 13798 × 13811) / 1
LCM(13798,13811) = 190564178 / 1
LCM(13798,13811) = 190564178

Least Common Multiple (LCM) of 13798 and 13811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13798 and 13811. First we will calculate the prime factors of 13798 and 13811.

Prime Factorization of 13798

Prime factors of 13798 are 2, 6899. Prime factorization of 13798 in exponential form is:

13798 = 21 × 68991

Prime Factorization of 13811

Prime factors of 13811 are 7, 1973. Prime factorization of 13811 in exponential form is:

13811 = 71 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 13798 and 13811.

LCM(13798,13811) = 21 × 68991 × 71 × 19731
LCM(13798,13811) = 190564178