What is the Least Common Multiple of 11810 and 11830?
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 11810 and 11830 is 13971230.
LCM(11810,11830) = 13971230
Least Common Multiple of 11810 and 11830 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11810 and 11830, than apply into the LCM equation.
GCF(11810,11830) = 10
LCM(11810,11830) = ( 11810 × 11830) / 10
LCM(11810,11830) = 139712300 / 10
LCM(11810,11830) = 13971230
Least Common Multiple (LCM) of 11810 and 11830 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11810 and 11830. First we will calculate the prime factors of 11810 and 11830.
Prime Factorization of 11810
Prime factors of 11810 are 2, 5, 1181. Prime factorization of 11810 in exponential form is:
11810 = 21 × 51 × 11811
Prime Factorization of 11830
Prime factors of 11830 are 2, 5, 7, 13. Prime factorization of 11830 in exponential form is:
11830 = 21 × 51 × 71 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 11810 and 11830.
LCM(11810,11830) = 21 × 51 × 11811 × 71 × 132
LCM(11810,11830) = 13971230
Related Least Common Multiples of 11810
- LCM of 11810 and 11814
- LCM of 11810 and 11815
- LCM of 11810 and 11816
- LCM of 11810 and 11817
- LCM of 11810 and 11818
- LCM of 11810 and 11819
- LCM of 11810 and 11820
- LCM of 11810 and 11821
- LCM of 11810 and 11822
- LCM of 11810 and 11823
- LCM of 11810 and 11824
- LCM of 11810 and 11825
- LCM of 11810 and 11826
- LCM of 11810 and 11827
- LCM of 11810 and 11828
- LCM of 11810 and 11829
- LCM of 11810 and 11830
Related Least Common Multiples of 11830
- LCM of 11830 and 11834
- LCM of 11830 and 11835
- LCM of 11830 and 11836
- LCM of 11830 and 11837
- LCM of 11830 and 11838
- LCM of 11830 and 11839
- LCM of 11830 and 11840
- LCM of 11830 and 11841
- LCM of 11830 and 11842
- LCM of 11830 and 11843
- LCM of 11830 and 11844
- LCM of 11830 and 11845
- LCM of 11830 and 11846
- LCM of 11830 and 11847
- LCM of 11830 and 11848
- LCM of 11830 and 11849
- LCM of 11830 and 11850