What is the Least Common Multiple of 12686 and 12704?
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 12686 and 12704 is 80581472.
LCM(12686,12704) = 80581472
Least Common Multiple of 12686 and 12704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12686 and 12704, than apply into the LCM equation.
GCF(12686,12704) = 2
LCM(12686,12704) = ( 12686 × 12704) / 2
LCM(12686,12704) = 161162944 / 2
LCM(12686,12704) = 80581472
Least Common Multiple (LCM) of 12686 and 12704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12686 and 12704. First we will calculate the prime factors of 12686 and 12704.
Prime Factorization of 12686
Prime factors of 12686 are 2, 6343. Prime factorization of 12686 in exponential form is:
12686 = 21 × 63431
Prime Factorization of 12704
Prime factors of 12704 are 2, 397. Prime factorization of 12704 in exponential form is:
12704 = 25 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 12686 and 12704.
LCM(12686,12704) = 25 × 63431 × 3971
LCM(12686,12704) = 80581472
Related Least Common Multiples of 12686
- LCM of 12686 and 12690
- LCM of 12686 and 12691
- LCM of 12686 and 12692
- LCM of 12686 and 12693
- LCM of 12686 and 12694
- LCM of 12686 and 12695
- LCM of 12686 and 12696
- LCM of 12686 and 12697
- LCM of 12686 and 12698
- LCM of 12686 and 12699
- LCM of 12686 and 12700
- LCM of 12686 and 12701
- LCM of 12686 and 12702
- LCM of 12686 and 12703
- LCM of 12686 and 12704
- LCM of 12686 and 12705
- LCM of 12686 and 12706
Related Least Common Multiples of 12704
- LCM of 12704 and 12708
- LCM of 12704 and 12709
- LCM of 12704 and 12710
- LCM of 12704 and 12711
- LCM of 12704 and 12712
- LCM of 12704 and 12713
- LCM of 12704 and 12714
- LCM of 12704 and 12715
- LCM of 12704 and 12716
- LCM of 12704 and 12717
- LCM of 12704 and 12718
- LCM of 12704 and 12719
- LCM of 12704 and 12720
- LCM of 12704 and 12721
- LCM of 12704 and 12722
- LCM of 12704 and 12723
- LCM of 12704 and 12724