Least Common Multiple of 2898 and 2899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2898 and 2899 the smallest integer that is 8401302 that is divisible by both numbers.
Least Common Multiple (LCM) of 2898 and 2899 is 8401302.
LCM(2898,2899) = 8401302
LCM of 2898 and 2899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2898 and 2899 by Prime method
- Least Common Multiple of 2898 and 2899 with GCF Formula
LCM of 2898 and 2899 is 8401302
Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2899. First we will calculate the prime factors of 2898 and 2899.
Prime Factorization of 2898
| 2 | 2898 |
| 3 | 1449 |
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 2898 are 2, 3, 7,23. Prime factorization of 2898 in exponential form is:
2898 = 21×32×71×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2899.
LCM(2898,2899) = 21×32×71×131×231×2231
LCM(2898,2899) = 8401302
Factors of 2898
List of positive integer factors of 2898 that divides 2898 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1, 13, 223, 2899
Least Common Multiple of 2898 and 2899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2898 and 2899, than apply into the LCM equation.
GCF(2898,2899) = 1
LCM(2898,2899) = ( 2898 × 2899) / 1
LCM(2898,2899) = 8401302 / 1
LCM(2898,2899) = 8401302
Properties of LCM 2898 and 2899
(i) The LCM of 2899 and 2898 is associative
LCM of 2898 and 2899 = LCM of 2899 and 2898
Related Least Common Multiples of 2898
Related Least Common Multiples of 2899
Frequently Asked Questions on LCM of 2898 and 2899
1. What is the LCM of 2898 and 2899?
Answer: LCM of 2898 and 2899 is 8401302.
2. What are the Factors of 2898?
Answer: Factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898. There are 24 integers that are factors of 2898. The greatest factor of 2898 is 2898.
3. 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.
4. How to Find the LCM of 2898 and 2899?
Answer:
Least Common Multiple of 2898 and 2899 = 8401302
Step 1: Find the prime factorization of 2898
2898 = 2 x 3 x 3 x 7 x 23
Step 2: Find the prime factorization of 2899
2899 = 13 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8401302 = 2 x 3 x 3 x 7 x 13 x 23 x 223
Step 4: Therefore, the least common multiple of 2898 and 2899 is 8401302.
