GCF and LCM Calculator Logo

What is the Least Common Multiple of 26135 and 26149?

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 26135 and 26149 is 683404115.

LCM(26135,26149) = 683404115

LCM Calculator and
and

Least Common Multiple of 26135 and 26149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26135 and 26149, than apply into the LCM equation.

GCF(26135,26149) = 1
LCM(26135,26149) = ( 26135 × 26149) / 1
LCM(26135,26149) = 683404115 / 1
LCM(26135,26149) = 683404115

Least Common Multiple (LCM) of 26135 and 26149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26135 and 26149. First we will calculate the prime factors of 26135 and 26149.

Prime Factorization of 26135

Prime factors of 26135 are 5, 5227. Prime factorization of 26135 in exponential form is:

26135 = 51 × 52271

Prime Factorization of 26149

Prime factors of 26149 are 79, 331. Prime factorization of 26149 in exponential form is:

26149 = 791 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 26135 and 26149.

LCM(26135,26149) = 51 × 52271 × 791 × 3311
LCM(26135,26149) = 683404115