GCF and LCM Calculator Logo

What is the Least Common Multiple of 12810 and 12814?

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 12810 and 12814 is 82073670.

LCM(12810,12814) = 82073670

LCM Calculator and
and

Least Common Multiple of 12810 and 12814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12810 and 12814, than apply into the LCM equation.

GCF(12810,12814) = 2
LCM(12810,12814) = ( 12810 × 12814) / 2
LCM(12810,12814) = 164147340 / 2
LCM(12810,12814) = 82073670

Least Common Multiple (LCM) of 12810 and 12814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12810 and 12814. First we will calculate the prime factors of 12810 and 12814.

Prime Factorization of 12810

Prime factors of 12810 are 2, 3, 5, 7, 61. Prime factorization of 12810 in exponential form is:

12810 = 21 × 31 × 51 × 71 × 611

Prime Factorization of 12814

Prime factors of 12814 are 2, 43, 149. Prime factorization of 12814 in exponential form is:

12814 = 21 × 431 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 12810 and 12814.

LCM(12810,12814) = 21 × 31 × 51 × 71 × 611 × 431 × 1491
LCM(12810,12814) = 82073670