GCF and LCM Calculator Logo

What is the Least Common Multiple of 12670 and 12689?

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 12670 and 12689 is 160769630.

LCM(12670,12689) = 160769630

LCM Calculator and
and

Least Common Multiple of 12670 and 12689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12670 and 12689, than apply into the LCM equation.

GCF(12670,12689) = 1
LCM(12670,12689) = ( 12670 × 12689) / 1
LCM(12670,12689) = 160769630 / 1
LCM(12670,12689) = 160769630

Least Common Multiple (LCM) of 12670 and 12689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12670 and 12689. First we will calculate the prime factors of 12670 and 12689.

Prime Factorization of 12670

Prime factors of 12670 are 2, 5, 7, 181. Prime factorization of 12670 in exponential form is:

12670 = 21 × 51 × 71 × 1811

Prime Factorization of 12689

Prime factors of 12689 are 12689. Prime factorization of 12689 in exponential form is:

12689 = 126891

Now multiplying the highest exponent prime factors to calculate the LCM of 12670 and 12689.

LCM(12670,12689) = 21 × 51 × 71 × 1811 × 126891
LCM(12670,12689) = 160769630