Least Common Multiple of 3849 and 3857
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3849 and 3857 the smallest integer that is 14845593 that is divisible by both numbers.
Least Common Multiple (LCM) of 3849 and 3857 is 14845593.
LCM(3849,3857) = 14845593
LCM of 3849 and 3857
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3849 and 3857 by Prime method
- Least Common Multiple of 3849 and 3857 with GCF Formula
LCM of 3849 and 3857 is 14845593
Least common multiple can be found by multiplying the highest exponent prime factors of 3849 and 3857. First we will calculate the prime factors of 3849 and 3857.
Prime Factorization of 3849
| 3 | 3849 |
| 1283 | 1283 |
| 1 |
Prime factors of 3849 are 3,1283. Prime factorization of 3849 in exponential form is:
3849 = 31×12831
Prime Factorization of 3857
| 7 | 3857 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 3857 are 7, 19,29. Prime factorization of 3857 in exponential form is:
3857 = 71×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3849 and 3857.
LCM(3849,3857) = 31×71×191×291×12831
LCM(3849,3857) = 14845593
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1, 3, 1283, 3849
Factors of 3857
List of positive integer factors of 3857 that divides 3857 without a remainder.
1, 7, 19, 29, 133, 203, 551, 3857
Least Common Multiple of 3849 and 3857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3849 and 3857, than apply into the LCM equation.
GCF(3849,3857) = 1
LCM(3849,3857) = ( 3849 × 3857) / 1
LCM(3849,3857) = 14845593 / 1
LCM(3849,3857) = 14845593
Properties of LCM 3849 and 3857
(i) The LCM of 3857 and 3849 is associative
LCM of 3849 and 3857 = LCM of 3857 and 3849
Related Least Common Multiples of 3849
Related Least Common Multiples of 3857
Frequently Asked Questions on LCM of 3849 and 3857
1. What is the LCM of 3849 and 3857?
Answer: LCM of 3849 and 3857 is 14845593.
2. What are the Factors of 3849?
Answer: Factors of 3849 are 1, 3, 1283, 3849. There are 4 integers that are factors of 3849. The greatest factor of 3849 is 3849.
3. What are the Factors of 3857?
Answer: Factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857. There are 8 integers that are factors of 3857. The greatest factor of 3857 is 3857.
4. How to Find the LCM of 3849 and 3857?
Answer:
Least Common Multiple of 3849 and 3857 = 14845593
Step 1: Find the prime factorization of 3849
3849 = 3 x 1283
Step 2: Find the prime factorization of 3857
3857 = 7 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14845593 = 3 x 7 x 19 x 29 x 1283
Step 4: Therefore, the least common multiple of 3849 and 3857 is 14845593.