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What is the Least Common Multiple of 13988 and 13999?

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 13988 and 13999 is 195818012.

LCM(13988,13999) = 195818012

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Least Common Multiple of 13988 and 13999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13988 and 13999, than apply into the LCM equation.

GCF(13988,13999) = 1
LCM(13988,13999) = ( 13988 × 13999) / 1
LCM(13988,13999) = 195818012 / 1
LCM(13988,13999) = 195818012

Least Common Multiple (LCM) of 13988 and 13999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13988 and 13999. First we will calculate the prime factors of 13988 and 13999.

Prime Factorization of 13988

Prime factors of 13988 are 2, 13, 269. Prime factorization of 13988 in exponential form is:

13988 = 22 × 131 × 2691

Prime Factorization of 13999

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

13999 = 139991

Now multiplying the highest exponent prime factors to calculate the LCM of 13988 and 13999.

LCM(13988,13999) = 22 × 131 × 2691 × 139991
LCM(13988,13999) = 195818012