Least Common Multiple of 2827 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 2827 and 2831 the smallest integer that is 8003237 that is divisible by both numbers.
Least Common Multiple (LCM) of 2827 and 2831 is 8003237.
LCM(2827,2831) = 8003237
LCM of 2827 and 2831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2827 and 2831 by Prime method
- Least Common Multiple of 2827 and 2831 with GCF Formula
LCM of 2827 and 2831 is 8003237
Least common multiple can be found by multiplying the highest exponent prime factors of 2827 and 2831. First we will calculate the prime factors of 2827 and 2831.
Prime Factorization of 2827
| 11 | 2827 |
| 257 | 257 |
| 1 |
Prime factors of 2827 are 11,257. Prime factorization of 2827 in exponential form is:
2827 = 111×2571
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 2827 and 2831.
LCM(2827,2831) = 111×191×1491×2571
LCM(2827,2831) = 8003237
Factors of 2827
List of positive integer factors of 2827 that divides 2827 without a remainder.
1, 11, 257, 2827
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1, 19, 149, 2831
Least Common Multiple of 2827 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 2827 and 2831, than apply into the LCM equation.
GCF(2827,2831) = 1
LCM(2827,2831) = ( 2827 × 2831) / 1
LCM(2827,2831) = 8003237 / 1
LCM(2827,2831) = 8003237
Properties of LCM 2827 and 2831
(i) The LCM of 2831 and 2827 is associative
LCM of 2827 and 2831 = LCM of 2831 and 2827
Related Least Common Multiples of 2827
Related Least Common Multiples of 2831
Frequently Asked Questions on LCM of 2827 and 2831
1. What is the LCM of 2827 and 2831?
Answer: LCM of 2827 and 2831 is 8003237.
2. What are the Factors of 2827?
Answer: Factors of 2827 are 1, 11, 257, 2827. There are 4 integers that are factors of 2827. The greatest factor of 2827 is 2827.
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 2827 and 2831?
Answer:
Least Common Multiple of 2827 and 2831 = 8003237
Step 1: Find the prime factorization of 2827
2827 = 11 x 257
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 = 8003237 = 11 x 19 x 149 x 257
Step 4: Therefore, the least common multiple of 2827 and 2831 is 8003237.