Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2899 and 2902 the smallest integer that is 8412898 that is divisible by both numbers.
Least Common Multiple (LCM) of 2899 and 2902 is 8412898.
LCM(2899,2902) = 8412898
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2899 and 2902. First we will calculate the prime factors of 2899 and 2902.
Prime Factorization of 2899
13 | 2899 |
223 | 223 |
1 |
Prime factors of 2899 are 13,223. Prime factorization of 2899 in exponential form is:
2899 = 131×2231
Prime Factorization of 2902
2 | 2902 |
1451 | 1451 |
1 |
Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:
2902 = 21×14511
Now multiplying the highest exponent prime factors to calculate the LCM of 2899 and 2902.
LCM(2899,2902) = 21×131×2231×14511
LCM(2899,2902) = 8412898
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1, 13, 223, 2899
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1, 2, 1451, 2902
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2899 and 2902, than apply into the LCM equation.
GCF(2899,2902) = 1
LCM(2899,2902) = ( 2899 × 2902) / 1
LCM(2899,2902) = 8412898 / 1
LCM(2899,2902) = 8412898
(i) The LCM of 2902 and 2899 is associative
LCM of 2899 and 2902 = LCM of 2902 and 2899
1. What is the LCM of 2899 and 2902?
Answer: LCM of 2899 and 2902 is 8412898.
2. What are the Factors of 2899?
Answer: Factors of 2899 are 1, 13, 223, 2899. There are 4 integers that are factors of 2899. The greatest factor of 2899 is 2899.
3. What are the Factors of 2902?
Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.
4. How to Find the LCM of 2899 and 2902?
Answer:
Least Common Multiple of 2899 and 2902 = 8412898
Step 1: Find the prime factorization of 2899
2899 = 13 x 223
Step 2: Find the prime factorization of 2902
2902 = 2 x 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8412898 = 2 x 13 x 223 x 1451
Step 4: Therefore, the least common multiple of 2899 and 2902 is 8412898.