Least Common Multiple of 2849 and 2853
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2849 and 2853 the smallest integer that is 8128197 that is divisible by both numbers.
Least Common Multiple (LCM) of 2849 and 2853 is 8128197.
LCM(2849,2853) = 8128197
LCM of 2849 and 2853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2849 and 2853 by Prime method
- Least Common Multiple of 2849 and 2853 with GCF Formula
LCM of 2849 and 2853 is 8128197
Least common multiple can be found by multiplying the highest exponent prime factors of 2849 and 2853. First we will calculate the prime factors of 2849 and 2853.
Prime Factorization of 2849
| 7 | 2849 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 2849 are 7, 11,37. Prime factorization of 2849 in exponential form is:
2849 = 71×111×371
Prime Factorization of 2853
| 3 | 2853 |
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:
2853 = 32×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 2849 and 2853.
LCM(2849,2853) = 32×71×111×371×3171
LCM(2849,2853) = 8128197
Factors of 2849
List of positive integer factors of 2849 that divides 2849 without a remainder.
1, 7, 11, 37, 77, 259, 407, 2849
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1, 3, 9, 317, 951, 2853
Least Common Multiple of 2849 and 2853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2849 and 2853, than apply into the LCM equation.
GCF(2849,2853) = 1
LCM(2849,2853) = ( 2849 × 2853) / 1
LCM(2849,2853) = 8128197 / 1
LCM(2849,2853) = 8128197
Properties of LCM 2849 and 2853
(i) The LCM of 2853 and 2849 is associative
LCM of 2849 and 2853 = LCM of 2853 and 2849
Related Least Common Multiples of 2849
Related Least Common Multiples of 2853
Frequently Asked Questions on LCM of 2849 and 2853
1. What is the LCM of 2849 and 2853?
Answer: LCM of 2849 and 2853 is 8128197.
2. What are the Factors of 2849?
Answer: Factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849. There are 8 integers that are factors of 2849. The greatest factor of 2849 is 2849.
3. What are the Factors of 2853?
Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.
4. How to Find the LCM of 2849 and 2853?
Answer:
Least Common Multiple of 2849 and 2853 = 8128197
Step 1: Find the prime factorization of 2849
2849 = 7 x 11 x 37
Step 2: Find the prime factorization of 2853
2853 = 3 x 3 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8128197 = 3 x 3 x 7 x 11 x 37 x 317
Step 4: Therefore, the least common multiple of 2849 and 2853 is 8128197.