GCF and LCM Calculator Logo

What is the Least Common Multiple of 12710 and 12725?

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 12710 and 12725 is 32346950.

LCM(12710,12725) = 32346950

LCM Calculator and
and

Least Common Multiple of 12710 and 12725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12710 and 12725, than apply into the LCM equation.

GCF(12710,12725) = 5
LCM(12710,12725) = ( 12710 × 12725) / 5
LCM(12710,12725) = 161734750 / 5
LCM(12710,12725) = 32346950

Least Common Multiple (LCM) of 12710 and 12725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12710 and 12725. First we will calculate the prime factors of 12710 and 12725.

Prime Factorization of 12710

Prime factors of 12710 are 2, 5, 31, 41. Prime factorization of 12710 in exponential form is:

12710 = 21 × 51 × 311 × 411

Prime Factorization of 12725

Prime factors of 12725 are 5, 509. Prime factorization of 12725 in exponential form is:

12725 = 52 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 12710 and 12725.

LCM(12710,12725) = 21 × 52 × 311 × 411 × 5091
LCM(12710,12725) = 32346950