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What is the Least Common Multiple of 13921 and 13927?

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 13921 and 13927 is 193877767.

LCM(13921,13927) = 193877767

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Least Common Multiple of 13921 and 13927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13921 and 13927, than apply into the LCM equation.

GCF(13921,13927) = 1
LCM(13921,13927) = ( 13921 × 13927) / 1
LCM(13921,13927) = 193877767 / 1
LCM(13921,13927) = 193877767

Least Common Multiple (LCM) of 13921 and 13927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13921 and 13927. First we will calculate the prime factors of 13921 and 13927.

Prime Factorization of 13921

Prime factors of 13921 are 13921. Prime factorization of 13921 in exponential form is:

13921 = 139211

Prime Factorization of 13927

Prime factors of 13927 are 19, 733. Prime factorization of 13927 in exponential form is:

13927 = 191 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 13921 and 13927.

LCM(13921,13927) = 139211 × 191 × 7331
LCM(13921,13927) = 193877767