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What is the Least Common Multiple of 13993 and 14011?

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 13993 and 14011 is 196055923.

LCM(13993,14011) = 196055923

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Least Common Multiple of 13993 and 14011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13993 and 14011, than apply into the LCM equation.

GCF(13993,14011) = 1
LCM(13993,14011) = ( 13993 × 14011) / 1
LCM(13993,14011) = 196055923 / 1
LCM(13993,14011) = 196055923

Least Common Multiple (LCM) of 13993 and 14011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13993 and 14011. First we will calculate the prime factors of 13993 and 14011.

Prime Factorization of 13993

Prime factors of 13993 are 7, 1999. Prime factorization of 13993 in exponential form is:

13993 = 71 × 19991

Prime Factorization of 14011

Prime factors of 14011 are 14011. Prime factorization of 14011 in exponential form is:

14011 = 140111

Now multiplying the highest exponent prime factors to calculate the LCM of 13993 and 14011.

LCM(13993,14011) = 71 × 19991 × 140111
LCM(13993,14011) = 196055923