Least Common Multiple of 2827 and 2834
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 2834 the smallest integer that is 8011718 that is divisible by both numbers.
Least Common Multiple (LCM) of 2827 and 2834 is 8011718.
LCM(2827,2834) = 8011718
LCM of 2827 and 2834
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2827 and 2834 by Prime method
- Least Common Multiple of 2827 and 2834 with GCF Formula
LCM of 2827 and 2834 is 8011718
Least common multiple can be found by multiplying the highest exponent prime factors of 2827 and 2834. First we will calculate the prime factors of 2827 and 2834.
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 2834
| 2 | 2834 |
| 13 | 1417 |
| 109 | 109 |
| 1 |
Prime factors of 2834 are 2, 13,109. Prime factorization of 2834 in exponential form is:
2834 = 21×131×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2827 and 2834.
LCM(2827,2834) = 21×111×131×1091×2571
LCM(2827,2834) = 8011718
Factors of 2827
List of positive integer factors of 2827 that divides 2827 without a remainder.
1, 11, 257, 2827
Factors of 2834
List of positive integer factors of 2834 that divides 2834 without a remainder.
1, 2, 13, 26, 109, 218, 1417, 2834
Least Common Multiple of 2827 and 2834 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 2834, than apply into the LCM equation.
GCF(2827,2834) = 1
LCM(2827,2834) = ( 2827 × 2834) / 1
LCM(2827,2834) = 8011718 / 1
LCM(2827,2834) = 8011718
Properties of LCM 2827 and 2834
(i) The LCM of 2834 and 2827 is associative
LCM of 2827 and 2834 = LCM of 2834 and 2827
Related Least Common Multiples of 2827
Related Least Common Multiples of 2834
Frequently Asked Questions on LCM of 2827 and 2834
1. What is the LCM of 2827 and 2834?
Answer: LCM of 2827 and 2834 is 8011718.
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 2834?
Answer: Factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834. There are 8 integers that are factors of 2834. The greatest factor of 2834 is 2834.
4. How to Find the LCM of 2827 and 2834?
Answer:
Least Common Multiple of 2827 and 2834 = 8011718
Step 1: Find the prime factorization of 2827
2827 = 11 x 257
Step 2: Find the prime factorization of 2834
2834 = 2 x 13 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8011718 = 2 x 11 x 13 x 109 x 257
Step 4: Therefore, the least common multiple of 2827 and 2834 is 8011718.