Least Common Multiple of 2825 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 2825 and 2831 the smallest integer that is 7997575 that is divisible by both numbers.
Least Common Multiple (LCM) of 2825 and 2831 is 7997575.
LCM(2825,2831) = 7997575
LCM of 2825 and 2831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2825 and 2831 by Prime method
- Least Common Multiple of 2825 and 2831 with GCF Formula
LCM of 2825 and 2831 is 7997575
Least common multiple can be found by multiplying the highest exponent prime factors of 2825 and 2831. First we will calculate the prime factors of 2825 and 2831.
Prime Factorization of 2825
| 5 | 2825 |
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 2825 are 5,113. Prime factorization of 2825 in exponential form is:
2825 = 52×1131
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 2825 and 2831.
LCM(2825,2831) = 52×191×1131×1491
LCM(2825,2831) = 7997575
Factors of 2825
List of positive integer factors of 2825 that divides 2825 without a remainder.
1, 5, 25, 113, 565, 2825
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Least Common Multiple of 2825 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 2825 and 2831, than apply into the LCM equation.
GCF(2825,2831) = 1
LCM(2825,2831) = ( 2825 × 2831) / 1
LCM(2825,2831) = 7997575 / 1
LCM(2825,2831) = 7997575
Properties of LCM 2825 and 2831
(i) The LCM of 2831 and 2825 is associative
LCM of 2825 and 2831 = LCM of 2831 and 2825
Related Least Common Multiples of 2825
Related Least Common Multiples of 2831
Frequently Asked Questions on LCM of 2825 and 2831
1. What is the LCM of 2825 and 2831?
Answer: LCM of 2825 and 2831 is 7997575.
2. What are the Factors of 2825?
Answer: Factors of 2825 are 1, 5, 25, 113, 565, 2825. There are 6 integers that are factors of 2825. The greatest factor of 2825 is 2825.
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 2825 and 2831?
Answer:
Least Common Multiple of 2825 and 2831 = 7997575
Step 1: Find the prime factorization of 2825
2825 = 5 x 5 x 113
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 = 7997575 = 5 x 5 x 19 x 113 x 149
Step 4: Therefore, the least common multiple of 2825 and 2831 is 7997575.