Least Common Multiple of 2831 and 2835
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 2835 the smallest integer that is 8025885 that is divisible by both numbers.
Least Common Multiple (LCM) of 2831 and 2835 is 8025885.
LCM(2831,2835) = 8025885
LCM of 2831 and 2835
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2831 and 2835 by Prime method
- Least Common Multiple of 2831 and 2835 with GCF Formula
LCM of 2831 and 2835 is 8025885
Least common multiple can be found by multiplying the highest exponent prime factors of 2831 and 2835. First we will calculate the prime factors of 2831 and 2835.
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 2835
| 3 | 2835 |
| 3 | 945 |
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 2835 are 3, 5,7. Prime factorization of 2835 in exponential form is:
2835 = 34×51×71
Now multiplying the highest exponent prime factors to calculate the LCM of 2831 and 2835.
LCM(2831,2835) = 34×51×71×191×1491
LCM(2831,2835) = 8025885
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Factors of 2835
List of positive integer factors of 2835 that divides 2835 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835
Least Common Multiple of 2831 and 2835 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 2835, than apply into the LCM equation.
GCF(2831,2835) = 1
LCM(2831,2835) = ( 2831 × 2835) / 1
LCM(2831,2835) = 8025885 / 1
LCM(2831,2835) = 8025885
Properties of LCM 2831 and 2835
(i) The LCM of 2835 and 2831 is associative
LCM of 2831 and 2835 = LCM of 2835 and 2831
Related Least Common Multiples of 2831
Related Least Common Multiples of 2835
Frequently Asked Questions on LCM of 2831 and 2835
1. What is the LCM of 2831 and 2835?
Answer: LCM of 2831 and 2835 is 8025885.
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 2835?
Answer: Factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. There are 20 integers that are factors of 2835. The greatest factor of 2835 is 2835.
4. How to Find the LCM of 2831 and 2835?
Answer:
Least Common Multiple of 2831 and 2835 = 8025885
Step 1: Find the prime factorization of 2831
2831 = 19 x 149
Step 2: Find the prime factorization of 2835
2835 = 3 x 3 x 3 x 3 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8025885 = 3 x 3 x 3 x 3 x 5 x 7 x 19 x 149
Step 4: Therefore, the least common multiple of 2831 and 2835 is 8025885.