Least Common Multiple of 2867 and 2871
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 2871 the smallest integer that is 8231157 that is divisible by both numbers.
Least Common Multiple (LCM) of 2867 and 2871 is 8231157.
LCM(2867,2871) = 8231157
LCM of 2867 and 2871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2867 and 2871 by Prime method
- Least Common Multiple of 2867 and 2871 with GCF Formula
LCM of 2867 and 2871 is 8231157
Least common multiple can be found by multiplying the highest exponent prime factors of 2867 and 2871. First we will calculate the prime factors of 2867 and 2871.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2867 and 2871.
LCM(2867,2871) = 32×111×291×471×611
LCM(2867,2871) = 8231157
Factors of 2867
List of positive integer factors of 2867 that divides 2867 without a remainder.
1, 47, 61, 2867
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
Least Common Multiple of 2867 and 2871 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 2871, than apply into the LCM equation.
GCF(2867,2871) = 1
LCM(2867,2871) = ( 2867 × 2871) / 1
LCM(2867,2871) = 8231157 / 1
LCM(2867,2871) = 8231157
Properties of LCM 2867 and 2871
(i) The LCM of 2871 and 2867 is associative
LCM of 2867 and 2871 = LCM of 2871 and 2867
Related Least Common Multiples of 2867
Related Least Common Multiples of 2871
Frequently Asked Questions on LCM of 2867 and 2871
1. What is the LCM of 2867 and 2871?
Answer: LCM of 2867 and 2871 is 8231157.
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 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.
4. How to Find the LCM of 2867 and 2871?
Answer:
Least Common Multiple of 2867 and 2871 = 8231157
Step 1: Find the prime factorization of 2867
2867 = 47 x 61
Step 2: Find the prime factorization of 2871
2871 = 3 x 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8231157 = 3 x 3 x 11 x 29 x 47 x 61
Step 4: Therefore, the least common multiple of 2867 and 2871 is 8231157.