Least Common Multiple of 6849 and 6853
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6849 and 6853 the smallest integer that is 46936197 that is divisible by both numbers.
Least Common Multiple (LCM) of 6849 and 6853 is 46936197.
LCM(6849,6853) = 46936197
LCM of 6849 and 6853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6849 and 6853 by Prime method
- Least Common Multiple of 6849 and 6853 with GCF Formula
LCM of 6849 and 6853 is 46936197
Least common multiple can be found by multiplying the highest exponent prime factors of 6849 and 6853. First we will calculate the prime factors of 6849 and 6853.
Prime Factorization of 6849
| 3 | 6849 |
| 3 | 2283 |
| 761 | 761 |
| 1 |
Prime factors of 6849 are 3,761. Prime factorization of 6849 in exponential form is:
6849 = 32×7611
Prime Factorization of 6853
| 7 | 6853 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 6853 are 7, 11,89. Prime factorization of 6853 in exponential form is:
6853 = 71×111×891
Now multiplying the highest exponent prime factors to calculate the LCM of 6849 and 6853.
LCM(6849,6853) = 32×71×111×891×7611
LCM(6849,6853) = 46936197
Factors of 6849
List of positive integer factors of 6849 that divides 6849 without a remainder.
1, 3, 9, 761, 2283, 6849
Factors of 6853
List of positive integer factors of 6853 that divides 6853 without a remainder.
1, 7, 11, 77, 89, 623, 979, 6853
Least Common Multiple of 6849 and 6853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6849 and 6853, than apply into the LCM equation.
GCF(6849,6853) = 1
LCM(6849,6853) = ( 6849 × 6853) / 1
LCM(6849,6853) = 46936197 / 1
LCM(6849,6853) = 46936197
Properties of LCM 6849 and 6853
(i) The LCM of 6853 and 6849 is associative
LCM of 6849 and 6853 = LCM of 6853 and 6849
Related Least Common Multiples of 6849
Related Least Common Multiples of 6853
Frequently Asked Questions on LCM of 6849 and 6853
1. What is the LCM of 6849 and 6853?
Answer: LCM of 6849 and 6853 is 46936197.
2. What are the Factors of 6849?
Answer: Factors of 6849 are 1, 3, 9, 761, 2283, 6849. There are 6 integers that are factors of 6849. The greatest factor of 6849 is 6849.
3. What are the Factors of 6853?
Answer: Factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853. There are 8 integers that are factors of 6853. The greatest factor of 6853 is 6853.
4. How to Find the LCM of 6849 and 6853?
Answer:
Least Common Multiple of 6849 and 6853 = 46936197
Step 1: Find the prime factorization of 6849
6849 = 3 x 3 x 761
Step 2: Find the prime factorization of 6853
6853 = 7 x 11 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46936197 = 3 x 3 x 7 x 11 x 89 x 761
Step 4: Therefore, the least common multiple of 6849 and 6853 is 46936197.