GCF and LCM Calculator Logo

What is the Least Common Multiple of 12425 and 12439?

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 12425 and 12439 is 22079225.

LCM(12425,12439) = 22079225

LCM Calculator and
and

Least Common Multiple of 12425 and 12439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12425 and 12439, than apply into the LCM equation.

GCF(12425,12439) = 7
LCM(12425,12439) = ( 12425 × 12439) / 7
LCM(12425,12439) = 154554575 / 7
LCM(12425,12439) = 22079225

Least Common Multiple (LCM) of 12425 and 12439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12425 and 12439. First we will calculate the prime factors of 12425 and 12439.

Prime Factorization of 12425

Prime factors of 12425 are 5, 7, 71. Prime factorization of 12425 in exponential form is:

12425 = 52 × 71 × 711

Prime Factorization of 12439

Prime factors of 12439 are 7, 1777. Prime factorization of 12439 in exponential form is:

12439 = 71 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 12425 and 12439.

LCM(12425,12439) = 52 × 71 × 711 × 17771
LCM(12425,12439) = 22079225