Least Common Multiple of 2873 and 2878
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 2878 the smallest integer that is 8268494 that is divisible by both numbers.
Least Common Multiple (LCM) of 2873 and 2878 is 8268494.
LCM(2873,2878) = 8268494
LCM of 2873 and 2878
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2873 and 2878 by Prime method
- Least Common Multiple of 2873 and 2878 with GCF Formula
LCM of 2873 and 2878 is 8268494
Least common multiple can be found by multiplying the highest exponent prime factors of 2873 and 2878. First we will calculate the prime factors of 2873 and 2878.
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 2878
| 2 | 2878 |
| 1439 | 1439 |
| 1 |
Prime factors of 2878 are 2,1439. Prime factorization of 2878 in exponential form is:
2878 = 21×14391
Now multiplying the highest exponent prime factors to calculate the LCM of 2873 and 2878.
LCM(2873,2878) = 21×132×171×14391
LCM(2873,2878) = 8268494
Factors of 2873
List of positive integer factors of 2873 that divides 2873 without a remainder.
1, 13, 17, 169, 221, 2873
Factors of 2878
List of positive integer factors of 2878 that divides 2878 without a remainder.
1, 2, 1439, 2878
Least Common Multiple of 2873 and 2878 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 2878, than apply into the LCM equation.
GCF(2873,2878) = 1
LCM(2873,2878) = ( 2873 × 2878) / 1
LCM(2873,2878) = 8268494 / 1
LCM(2873,2878) = 8268494
Properties of LCM 2873 and 2878
(i) The LCM of 2878 and 2873 is associative
LCM of 2873 and 2878 = LCM of 2878 and 2873
Related Least Common Multiples of 2873
Related Least Common Multiples of 2878
Frequently Asked Questions on LCM of 2873 and 2878
1. What is the LCM of 2873 and 2878?
Answer: LCM of 2873 and 2878 is 8268494.
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 2878?
Answer: Factors of 2878 are 1, 2, 1439, 2878. There are 4 integers that are factors of 2878. The greatest factor of 2878 is 2878.
4. How to Find the LCM of 2873 and 2878?
Answer:
Least Common Multiple of 2873 and 2878 = 8268494
Step 1: Find the prime factorization of 2873
2873 = 13 x 13 x 17
Step 2: Find the prime factorization of 2878
2878 = 2 x 1439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8268494 = 2 x 13 x 13 x 17 x 1439
Step 4: Therefore, the least common multiple of 2873 and 2878 is 8268494.