What is the Least Common Multiple of 12816 and 12834?
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 12816 and 12834 is 9137808.
LCM(12816,12834) = 9137808
Least Common Multiple of 12816 and 12834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12816 and 12834, than apply into the LCM equation.
GCF(12816,12834) = 18
LCM(12816,12834) = ( 12816 × 12834) / 18
LCM(12816,12834) = 164480544 / 18
LCM(12816,12834) = 9137808
Least Common Multiple (LCM) of 12816 and 12834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12816 and 12834. First we will calculate the prime factors of 12816 and 12834.
Prime Factorization of 12816
Prime factors of 12816 are 2, 3, 89. Prime factorization of 12816 in exponential form is:
12816 = 24 × 32 × 891
Prime Factorization of 12834
Prime factors of 12834 are 2, 3, 23, 31. Prime factorization of 12834 in exponential form is:
12834 = 21 × 32 × 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 12816 and 12834.
LCM(12816,12834) = 24 × 32 × 891 × 231 × 311
LCM(12816,12834) = 9137808
Related Least Common Multiples of 12816
- LCM of 12816 and 12820
- LCM of 12816 and 12821
- LCM of 12816 and 12822
- LCM of 12816 and 12823
- LCM of 12816 and 12824
- LCM of 12816 and 12825
- LCM of 12816 and 12826
- LCM of 12816 and 12827
- LCM of 12816 and 12828
- LCM of 12816 and 12829
- LCM of 12816 and 12830
- LCM of 12816 and 12831
- LCM of 12816 and 12832
- LCM of 12816 and 12833
- LCM of 12816 and 12834
- LCM of 12816 and 12835
- LCM of 12816 and 12836
Related Least Common Multiples of 12834
- LCM of 12834 and 12838
- LCM of 12834 and 12839
- LCM of 12834 and 12840
- LCM of 12834 and 12841
- LCM of 12834 and 12842
- LCM of 12834 and 12843
- LCM of 12834 and 12844
- LCM of 12834 and 12845
- LCM of 12834 and 12846
- LCM of 12834 and 12847
- LCM of 12834 and 12848
- LCM of 12834 and 12849
- LCM of 12834 and 12850
- LCM of 12834 and 12851
- LCM of 12834 and 12852
- LCM of 12834 and 12853
- LCM of 12834 and 12854