Least Common Multiple of 2871 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 2871 and 2878 the smallest integer that is 8262738 that is divisible by both numbers.
Least Common Multiple (LCM) of 2871 and 2878 is 8262738.
LCM(2871,2878) = 8262738
LCM of 2871 and 2878
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2871 and 2878 by Prime method
- Least Common Multiple of 2871 and 2878 with GCF Formula
LCM of 2871 and 2878 is 8262738
Least common multiple can be found by multiplying the highest exponent prime factors of 2871 and 2878. First we will calculate the prime factors of 2871 and 2878.
Prime Factorization of 2871
| 3 | 2871 |
| 3 | 957 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 2871 are 3, 11,29. Prime factorization of 2871 in exponential form is:
2871 = 32×111×291
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 2871 and 2878.
LCM(2871,2878) = 21×32×111×291×14391
LCM(2871,2878) = 8262738
Factors of 2871
List of positive integer factors of 2871 that divides 2871 without a remainder.
1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871
Factors of 2878
List of positive integer factors of 2878 that divides 2878 without a remainder.
1, 2, 1439, 2878
Least Common Multiple of 2871 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 2871 and 2878, than apply into the LCM equation.
GCF(2871,2878) = 1
LCM(2871,2878) = ( 2871 × 2878) / 1
LCM(2871,2878) = 8262738 / 1
LCM(2871,2878) = 8262738
Properties of LCM 2871 and 2878
(i) The LCM of 2878 and 2871 is associative
LCM of 2871 and 2878 = LCM of 2878 and 2871
Related Least Common Multiples of 2871
Related Least Common Multiples of 2878
Frequently Asked Questions on LCM of 2871 and 2878
1. What is the LCM of 2871 and 2878?
Answer: LCM of 2871 and 2878 is 8262738.
2. What are the Factors of 2871?
Answer: Factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871. There are 12 integers that are factors of 2871. The greatest factor of 2871 is 2871.
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 2871 and 2878?
Answer:
Least Common Multiple of 2871 and 2878 = 8262738
Step 1: Find the prime factorization of 2871
2871 = 3 x 3 x 11 x 29
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 = 8262738 = 2 x 3 x 3 x 11 x 29 x 1439
Step 4: Therefore, the least common multiple of 2871 and 2878 is 8262738.