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What is the Least Common Multiple of 13999 and 14008?

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 13999 and 14008 is 196097992.

LCM(13999,14008) = 196097992

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Least Common Multiple of 13999 and 14008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13999 and 14008, than apply into the LCM equation.

GCF(13999,14008) = 1
LCM(13999,14008) = ( 13999 × 14008) / 1
LCM(13999,14008) = 196097992 / 1
LCM(13999,14008) = 196097992

Least Common Multiple (LCM) of 13999 and 14008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13999 and 14008. First we will calculate the prime factors of 13999 and 14008.

Prime Factorization of 13999

Prime factors of 13999 are 13999. Prime factorization of 13999 in exponential form is:

13999 = 139991

Prime Factorization of 14008

Prime factors of 14008 are 2, 17, 103. Prime factorization of 14008 in exponential form is:

14008 = 23 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13999 and 14008.

LCM(13999,14008) = 139991 × 23 × 171 × 1031
LCM(13999,14008) = 196097992