Least Common Multiple of 2826 and 2831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2826 and 2831 the smallest integer that is 8000406 that is divisible by both numbers.
Least Common Multiple (LCM) of 2826 and 2831 is 8000406.
LCM(2826,2831) = 8000406
LCM of 2826 and 2831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2826 and 2831 by Prime method
- Least Common Multiple of 2826 and 2831 with GCF Formula
LCM of 2826 and 2831 is 8000406
Least common multiple can be found by multiplying the highest exponent prime factors of 2826 and 2831. First we will calculate the prime factors of 2826 and 2831.
Prime Factorization of 2826
| 2 | 2826 |
| 3 | 1413 |
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 2826 are 2, 3,157. Prime factorization of 2826 in exponential form is:
2826 = 21×32×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2826 and 2831.
LCM(2826,2831) = 21×32×191×1491×1571
LCM(2826,2831) = 8000406
Factors of 2826
List of positive integer factors of 2826 that divides 2826 without a remainder.
1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Least Common Multiple of 2826 and 2831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2826 and 2831, than apply into the LCM equation.
GCF(2826,2831) = 1
LCM(2826,2831) = ( 2826 × 2831) / 1
LCM(2826,2831) = 8000406 / 1
LCM(2826,2831) = 8000406
Properties of LCM 2826 and 2831
(i) The LCM of 2831 and 2826 is associative
LCM of 2826 and 2831 = LCM of 2831 and 2826
Related Least Common Multiples of 2826
Related Least Common Multiples of 2831
Frequently Asked Questions on LCM of 2826 and 2831
1. What is the LCM of 2826 and 2831?
Answer: LCM of 2826 and 2831 is 8000406.
2. What are the Factors of 2826?
Answer: Factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826. There are 12 integers that are factors of 2826. The greatest factor of 2826 is 2826.
3. 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.
4. How to Find the LCM of 2826 and 2831?
Answer:
Least Common Multiple of 2826 and 2831 = 8000406
Step 1: Find the prime factorization of 2826
2826 = 2 x 3 x 3 x 157
Step 2: Find the prime factorization of 2831
2831 = 19 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8000406 = 2 x 3 x 3 x 19 x 149 x 157
Step 4: Therefore, the least common multiple of 2826 and 2831 is 8000406.