Least Common Multiple of 2873 and 2881
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2873 and 2881 the smallest integer that is 8277113 that is divisible by both numbers.
Least Common Multiple (LCM) of 2873 and 2881 is 8277113.
LCM(2873,2881) = 8277113
LCM of 2873 and 2881
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2873 and 2881 by Prime method
- Least Common Multiple of 2873 and 2881 with GCF Formula
LCM of 2873 and 2881 is 8277113
Least common multiple can be found by multiplying the highest exponent prime factors of 2873 and 2881. First we will calculate the prime factors of 2873 and 2881.
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
Prime Factorization of 2881
| 43 | 2881 |
| 67 | 67 |
| 1 |
Prime factors of 2881 are 43,67. Prime factorization of 2881 in exponential form is:
2881 = 431×671
Now multiplying the highest exponent prime factors to calculate the LCM of 2873 and 2881.
LCM(2873,2881) = 132×171×431×671
LCM(2873,2881) = 8277113
Factors of 2873
List of positive integer factors of 2873 that divides 2873 without a remainder.
1, 13, 17, 169, 221, 2873
Factors of 2881
List of positive integer factors of 2881 that divides 2881 without a remainder.
1, 43, 67, 2881
Least Common Multiple of 2873 and 2881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2873 and 2881, than apply into the LCM equation.
GCF(2873,2881) = 1
LCM(2873,2881) = ( 2873 × 2881) / 1
LCM(2873,2881) = 8277113 / 1
LCM(2873,2881) = 8277113
Properties of LCM 2873 and 2881
(i) The LCM of 2881 and 2873 is associative
LCM of 2873 and 2881 = LCM of 2881 and 2873
Related Least Common Multiples of 2873
Related Least Common Multiples of 2881
Frequently Asked Questions on LCM of 2873 and 2881
1. What is the LCM of 2873 and 2881?
Answer: LCM of 2873 and 2881 is 8277113.
2. 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.
3. What are the Factors of 2881?
Answer: Factors of 2881 are 1, 43, 67, 2881. There are 4 integers that are factors of 2881. The greatest factor of 2881 is 2881.
4. How to Find the LCM of 2873 and 2881?
Answer:
Least Common Multiple of 2873 and 2881 = 8277113
Step 1: Find the prime factorization of 2873
2873 = 13 x 13 x 17
Step 2: Find the prime factorization of 2881
2881 = 43 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8277113 = 13 x 13 x 17 x 43 x 67
Step 4: Therefore, the least common multiple of 2873 and 2881 is 8277113.