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What is the Least Common Multiple of 13788 and 13798?

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 13788 and 13798 is 95123412.

LCM(13788,13798) = 95123412

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Least Common Multiple of 13788 and 13798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13788 and 13798, than apply into the LCM equation.

GCF(13788,13798) = 2
LCM(13788,13798) = ( 13788 × 13798) / 2
LCM(13788,13798) = 190246824 / 2
LCM(13788,13798) = 95123412

Least Common Multiple (LCM) of 13788 and 13798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13788 and 13798. First we will calculate the prime factors of 13788 and 13798.

Prime Factorization of 13788

Prime factors of 13788 are 2, 3, 383. Prime factorization of 13788 in exponential form is:

13788 = 22 × 32 × 3831

Prime Factorization of 13798

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

13798 = 21 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 13788 and 13798.

LCM(13788,13798) = 22 × 32 × 3831 × 68991
LCM(13788,13798) = 95123412