What is the Least Common Multiple of 11868 and 11872?
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 11868 and 11872 is 35224224.
LCM(11868,11872) = 35224224
Least Common Multiple of 11868 and 11872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11868 and 11872, than apply into the LCM equation.
GCF(11868,11872) = 4
LCM(11868,11872) = ( 11868 × 11872) / 4
LCM(11868,11872) = 140896896 / 4
LCM(11868,11872) = 35224224
Least Common Multiple (LCM) of 11868 and 11872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11868 and 11872. First we will calculate the prime factors of 11868 and 11872.
Prime Factorization of 11868
Prime factors of 11868 are 2, 3, 23, 43. Prime factorization of 11868 in exponential form is:
11868 = 22 × 31 × 231 × 431
Prime Factorization of 11872
Prime factors of 11872 are 2, 7, 53. Prime factorization of 11872 in exponential form is:
11872 = 25 × 71 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 11868 and 11872.
LCM(11868,11872) = 25 × 31 × 231 × 431 × 71 × 531
LCM(11868,11872) = 35224224
Related Least Common Multiples of 11868
- LCM of 11868 and 11872
- LCM of 11868 and 11873
- LCM of 11868 and 11874
- LCM of 11868 and 11875
- LCM of 11868 and 11876
- LCM of 11868 and 11877
- LCM of 11868 and 11878
- LCM of 11868 and 11879
- LCM of 11868 and 11880
- LCM of 11868 and 11881
- LCM of 11868 and 11882
- LCM of 11868 and 11883
- LCM of 11868 and 11884
- LCM of 11868 and 11885
- LCM of 11868 and 11886
- LCM of 11868 and 11887
- LCM of 11868 and 11888
Related Least Common Multiples of 11872
- LCM of 11872 and 11876
- LCM of 11872 and 11877
- LCM of 11872 and 11878
- LCM of 11872 and 11879
- LCM of 11872 and 11880
- LCM of 11872 and 11881
- LCM of 11872 and 11882
- LCM of 11872 and 11883
- LCM of 11872 and 11884
- LCM of 11872 and 11885
- LCM of 11872 and 11886
- LCM of 11872 and 11887
- LCM of 11872 and 11888
- LCM of 11872 and 11889
- LCM of 11872 and 11890
- LCM of 11872 and 11891
- LCM of 11872 and 11892