Least Common Multiple of 2831 and 2839
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 2839 the smallest integer that is 8037209 that is divisible by both numbers.
Least Common Multiple (LCM) of 2831 and 2839 is 8037209.
LCM(2831,2839) = 8037209
LCM of 2831 and 2839
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2831 and 2839 by Prime method
- Least Common Multiple of 2831 and 2839 with GCF Formula
LCM of 2831 and 2839 is 8037209
Least common multiple can be found by multiplying the highest exponent prime factors of 2831 and 2839. First we will calculate the prime factors of 2831 and 2839.
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 2839
| 17 | 2839 |
| 167 | 167 |
| 1 |
Prime factors of 2839 are 17,167. Prime factorization of 2839 in exponential form is:
2839 = 171×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 2831 and 2839.
LCM(2831,2839) = 171×191×1491×1671
LCM(2831,2839) = 8037209
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Factors of 2839
List of positive integer factors of 2839 that divides 2839 without a remainder.
1, 17, 167, 2839
Least Common Multiple of 2831 and 2839 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 2839, than apply into the LCM equation.
GCF(2831,2839) = 1
LCM(2831,2839) = ( 2831 × 2839) / 1
LCM(2831,2839) = 8037209 / 1
LCM(2831,2839) = 8037209
Properties of LCM 2831 and 2839
(i) The LCM of 2839 and 2831 is associative
LCM of 2831 and 2839 = LCM of 2839 and 2831
Related Least Common Multiples of 2831
Related Least Common Multiples of 2839
Frequently Asked Questions on LCM of 2831 and 2839
1. What is the LCM of 2831 and 2839?
Answer: LCM of 2831 and 2839 is 8037209.
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 2839?
Answer: Factors of 2839 are 1, 17, 167, 2839. There are 4 integers that are factors of 2839. The greatest factor of 2839 is 2839.
4. How to Find the LCM of 2831 and 2839?
Answer:
Least Common Multiple of 2831 and 2839 = 8037209
Step 1: Find the prime factorization of 2831
2831 = 19 x 149
Step 2: Find the prime factorization of 2839
2839 = 17 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8037209 = 17 x 19 x 149 x 167
Step 4: Therefore, the least common multiple of 2831 and 2839 is 8037209.