GCF and LCM Calculator Logo

What is the Least Common Multiple of 25791 and 25798?

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 25791 and 25798 is 665356218.

LCM(25791,25798) = 665356218

LCM Calculator and
and

Least Common Multiple of 25791 and 25798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25791 and 25798, than apply into the LCM equation.

GCF(25791,25798) = 1
LCM(25791,25798) = ( 25791 × 25798) / 1
LCM(25791,25798) = 665356218 / 1
LCM(25791,25798) = 665356218

Least Common Multiple (LCM) of 25791 and 25798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25791 and 25798. First we will calculate the prime factors of 25791 and 25798.

Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 31 × 85971

Prime Factorization of 25798

Prime factors of 25798 are 2, 12899. Prime factorization of 25798 in exponential form is:

25798 = 21 × 128991

Now multiplying the highest exponent prime factors to calculate the LCM of 25791 and 25798.

LCM(25791,25798) = 31 × 85971 × 21 × 128991
LCM(25791,25798) = 665356218