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What is the Least Common Multiple of 13826 and 13838?

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 13826 and 13838 is 95662094.

LCM(13826,13838) = 95662094

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Least Common Multiple of 13826 and 13838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13826 and 13838, than apply into the LCM equation.

GCF(13826,13838) = 2
LCM(13826,13838) = ( 13826 × 13838) / 2
LCM(13826,13838) = 191324188 / 2
LCM(13826,13838) = 95662094

Least Common Multiple (LCM) of 13826 and 13838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13826 and 13838. First we will calculate the prime factors of 13826 and 13838.

Prime Factorization of 13826

Prime factors of 13826 are 2, 31, 223. Prime factorization of 13826 in exponential form is:

13826 = 21 × 311 × 2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13826 and 13838.

LCM(13826,13838) = 21 × 311 × 2231 × 111 × 171 × 371
LCM(13826,13838) = 95662094