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What is the Least Common Multiple of 13903 and 13923?

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 13903 and 13923 is 193571469.

LCM(13903,13923) = 193571469

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Least Common Multiple of 13903 and 13923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13903 and 13923, than apply into the LCM equation.

GCF(13903,13923) = 1
LCM(13903,13923) = ( 13903 × 13923) / 1
LCM(13903,13923) = 193571469 / 1
LCM(13903,13923) = 193571469

Least Common Multiple (LCM) of 13903 and 13923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13903 and 13923. First we will calculate the prime factors of 13903 and 13923.

Prime Factorization of 13903

Prime factors of 13903 are 13903. Prime factorization of 13903 in exponential form is:

13903 = 139031

Prime Factorization of 13923

Prime factors of 13923 are 3, 7, 13, 17. Prime factorization of 13923 in exponential form is:

13923 = 32 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13903 and 13923.

LCM(13903,13923) = 139031 × 32 × 71 × 131 × 171
LCM(13903,13923) = 193571469