Least Common Multiple of 2867 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 2867 and 2873 the smallest integer that is 8236891 that is divisible by both numbers.
Least Common Multiple (LCM) of 2867 and 2873 is 8236891.
LCM(2867,2873) = 8236891
LCM of 2867 and 2873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2867 and 2873 by Prime method
- Least Common Multiple of 2867 and 2873 with GCF Formula
LCM of 2867 and 2873 is 8236891
Least common multiple can be found by multiplying the highest exponent prime factors of 2867 and 2873. First we will calculate the prime factors of 2867 and 2873.
Prime Factorization of 2867
| 47 | 2867 |
| 61 | 61 |
| 1 |
Prime factors of 2867 are 47,61. Prime factorization of 2867 in exponential form is:
2867 = 471×611
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 2867 and 2873.
LCM(2867,2873) = 132×171×471×611
LCM(2867,2873) = 8236891
Factors of 2867
List of positive integer factors of 2867 that divides 2867 without a remainder.
1, 47, 61, 2867
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 2867 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 2867 and 2873, than apply into the LCM equation.
GCF(2867,2873) = 1
LCM(2867,2873) = ( 2867 × 2873) / 1
LCM(2867,2873) = 8236891 / 1
LCM(2867,2873) = 8236891
Properties of LCM 2867 and 2873
(i) The LCM of 2873 and 2867 is associative
LCM of 2867 and 2873 = LCM of 2873 and 2867
Related Least Common Multiples of 2867
Related Least Common Multiples of 2873
Frequently Asked Questions on LCM of 2867 and 2873
1. What is the LCM of 2867 and 2873?
Answer: LCM of 2867 and 2873 is 8236891.
2. What are the Factors of 2867?
Answer: Factors of 2867 are 1, 47, 61, 2867. There are 4 integers that are factors of 2867. The greatest factor of 2867 is 2867.
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 2867 and 2873?
Answer:
Least Common Multiple of 2867 and 2873 = 8236891
Step 1: Find the prime factorization of 2867
2867 = 47 x 61
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 = 8236891 = 13 x 13 x 17 x 47 x 61
Step 4: Therefore, the least common multiple of 2867 and 2873 is 8236891.