GCF and LCM Calculator Logo

What is the Least Common Multiple of 12507 and 12520?

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 12507 and 12520 is 156587640.

LCM(12507,12520) = 156587640

LCM Calculator and
and

Least Common Multiple of 12507 and 12520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12507 and 12520, than apply into the LCM equation.

GCF(12507,12520) = 1
LCM(12507,12520) = ( 12507 × 12520) / 1
LCM(12507,12520) = 156587640 / 1
LCM(12507,12520) = 156587640

Least Common Multiple (LCM) of 12507 and 12520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12507 and 12520. First we will calculate the prime factors of 12507 and 12520.

Prime Factorization of 12507

Prime factors of 12507 are 3, 11, 379. Prime factorization of 12507 in exponential form is:

12507 = 31 × 111 × 3791

Prime Factorization of 12520

Prime factors of 12520 are 2, 5, 313. Prime factorization of 12520 in exponential form is:

12520 = 23 × 51 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 12507 and 12520.

LCM(12507,12520) = 31 × 111 × 3791 × 23 × 51 × 3131
LCM(12507,12520) = 156587640