Least Common Multiple of 2831 and 2838
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2831 and 2838 the smallest integer that is 8034378 that is divisible by both numbers.
Least Common Multiple (LCM) of 2831 and 2838 is 8034378.
LCM(2831,2838) = 8034378
LCM of 2831 and 2838
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2831 and 2838 by Prime method
- Least Common Multiple of 2831 and 2838 with GCF Formula
LCM of 2831 and 2838 is 8034378
Least common multiple can be found by multiplying the highest exponent prime factors of 2831 and 2838. First we will calculate the prime factors of 2831 and 2838.
Prime Factorization of 2831
| 19 | 2831 |
| 149 | 149 |
| 1 |
Prime factors of 2831 are 19,149. Prime factorization of 2831 in exponential form is:
2831 = 191×1491
Prime Factorization of 2838
| 2 | 2838 |
| 3 | 1419 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 2838 are 2, 3, 11,43. Prime factorization of 2838 in exponential form is:
2838 = 21×31×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2831 and 2838.
LCM(2831,2838) = 21×31×111×191×431×1491
LCM(2831,2838) = 8034378
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Factors of 2838
List of positive integer factors of 2838 that divides 2838 without a remainder.
1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
Least Common Multiple of 2831 and 2838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2831 and 2838, than apply into the LCM equation.
GCF(2831,2838) = 1
LCM(2831,2838) = ( 2831 × 2838) / 1
LCM(2831,2838) = 8034378 / 1
LCM(2831,2838) = 8034378
Properties of LCM 2831 and 2838
(i) The LCM of 2838 and 2831 is associative
LCM of 2831 and 2838 = LCM of 2838 and 2831
Related Least Common Multiples of 2831
Related Least Common Multiples of 2838
Frequently Asked Questions on LCM of 2831 and 2838
1. What is the LCM of 2831 and 2838?
Answer: LCM of 2831 and 2838 is 8034378.
2. What are the Factors of 2831?
Answer: Factors of 2831 are 1, 19, 149, 2831. There are 4 integers that are factors of 2831. The greatest factor of 2831 is 2831.
3. What are the Factors of 2838?
Answer: Factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838. There are 16 integers that are factors of 2838. The greatest factor of 2838 is 2838.
4. How to Find the LCM of 2831 and 2838?
Answer:
Least Common Multiple of 2831 and 2838 = 8034378
Step 1: Find the prime factorization of 2831
2831 = 19 x 149
Step 2: Find the prime factorization of 2838
2838 = 2 x 3 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8034378 = 2 x 3 x 11 x 19 x 43 x 149
Step 4: Therefore, the least common multiple of 2831 and 2838 is 8034378.