Least Common Multiple of 2869 and 2873
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2869 and 2873 the smallest integer that is 8242637 that is divisible by both numbers.
Least Common Multiple (LCM) of 2869 and 2873 is 8242637.
LCM(2869,2873) = 8242637
LCM of 2869 and 2873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2869 and 2873 by Prime method
- Least Common Multiple of 2869 and 2873 with GCF Formula
LCM of 2869 and 2873 is 8242637
Least common multiple can be found by multiplying the highest exponent prime factors of 2869 and 2873. First we will calculate the prime factors of 2869 and 2873.
Prime Factorization of 2869
| 19 | 2869 |
| 151 | 151 |
| 1 |
Prime factors of 2869 are 19,151. Prime factorization of 2869 in exponential form is:
2869 = 191×1511
Prime Factorization of 2873
| 13 | 2873 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 2873 are 13,17. Prime factorization of 2873 in exponential form is:
2873 = 132×171
Now multiplying the highest exponent prime factors to calculate the LCM of 2869 and 2873.
LCM(2869,2873) = 132×171×191×1511
LCM(2869,2873) = 8242637
Factors of 2869
List of positive integer factors of 2869 that divides 2869 without a remainder.
1, 19, 151, 2869
Factors of 2873
List of positive integer factors of 2873 that divides 2873 without a remainder.
1, 13, 17, 169, 221, 2873
Least Common Multiple of 2869 and 2873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2869 and 2873, than apply into the LCM equation.
GCF(2869,2873) = 1
LCM(2869,2873) = ( 2869 × 2873) / 1
LCM(2869,2873) = 8242637 / 1
LCM(2869,2873) = 8242637
Properties of LCM 2869 and 2873
(i) The LCM of 2873 and 2869 is associative
LCM of 2869 and 2873 = LCM of 2873 and 2869
Related Least Common Multiples of 2869
Related Least Common Multiples of 2873
Frequently Asked Questions on LCM of 2869 and 2873
1. What is the LCM of 2869 and 2873?
Answer: LCM of 2869 and 2873 is 8242637.
2. What are the Factors of 2869?
Answer: Factors of 2869 are 1, 19, 151, 2869. There are 4 integers that are factors of 2869. The greatest factor of 2869 is 2869.
3. What are the Factors of 2873?
Answer: Factors of 2873 are 1, 13, 17, 169, 221, 2873. There are 6 integers that are factors of 2873. The greatest factor of 2873 is 2873.
4. How to Find the LCM of 2869 and 2873?
Answer:
Least Common Multiple of 2869 and 2873 = 8242637
Step 1: Find the prime factorization of 2869
2869 = 19 x 151
Step 2: Find the prime factorization of 2873
2873 = 13 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8242637 = 13 x 13 x 17 x 19 x 151
Step 4: Therefore, the least common multiple of 2869 and 2873 is 8242637.