GCF and LCM Calculator Logo

What is the Least Common Multiple of 12791 and 12799?

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 12791 and 12799 is 163712009.

LCM(12791,12799) = 163712009

LCM Calculator and
and

Least Common Multiple of 12791 and 12799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12791 and 12799, than apply into the LCM equation.

GCF(12791,12799) = 1
LCM(12791,12799) = ( 12791 × 12799) / 1
LCM(12791,12799) = 163712009 / 1
LCM(12791,12799) = 163712009

Least Common Multiple (LCM) of 12791 and 12799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12791 and 12799. First we will calculate the prime factors of 12791 and 12799.

Prime Factorization of 12791

Prime factors of 12791 are 12791. Prime factorization of 12791 in exponential form is:

12791 = 127911

Prime Factorization of 12799

Prime factors of 12799 are 12799. Prime factorization of 12799 in exponential form is:

12799 = 127991

Now multiplying the highest exponent prime factors to calculate the LCM of 12791 and 12799.

LCM(12791,12799) = 127911 × 127991
LCM(12791,12799) = 163712009