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What is the Least Common Multiple of 13994 and 14005?

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 13994 and 14005 is 195985970.

LCM(13994,14005) = 195985970

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Least Common Multiple of 13994 and 14005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13994 and 14005, than apply into the LCM equation.

GCF(13994,14005) = 1
LCM(13994,14005) = ( 13994 × 14005) / 1
LCM(13994,14005) = 195985970 / 1
LCM(13994,14005) = 195985970

Least Common Multiple (LCM) of 13994 and 14005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13994 and 14005. First we will calculate the prime factors of 13994 and 14005.

Prime Factorization of 13994

Prime factors of 13994 are 2, 6997. Prime factorization of 13994 in exponential form is:

13994 = 21 × 69971

Prime Factorization of 14005

Prime factors of 14005 are 5, 2801. Prime factorization of 14005 in exponential form is:

14005 = 51 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 13994 and 14005.

LCM(13994,14005) = 21 × 69971 × 51 × 28011
LCM(13994,14005) = 195985970