What is the Least Common Multiple of 13988 and 14001?
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 14001 is 15065076.
LCM(13988,14001) = 15065076
Least Common Multiple of 13988 and 14001 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 14001, than apply into the LCM equation.
GCF(13988,14001) = 13
LCM(13988,14001) = ( 13988 × 14001) / 13
LCM(13988,14001) = 195845988 / 13
LCM(13988,14001) = 15065076
Least Common Multiple (LCM) of 13988 and 14001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13988 and 14001. First we will calculate the prime factors of 13988 and 14001.
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 14001
Prime factors of 14001 are 3, 13, 359. Prime factorization of 14001 in exponential form is:
14001 = 31 × 131 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 13988 and 14001.
LCM(13988,14001) = 22 × 131 × 2691 × 31 × 3591
LCM(13988,14001) = 15065076
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