Least Common Multiple of 3841 and 3849
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3841 and 3849 the smallest integer that is 14784009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3841 and 3849 is 14784009.
LCM(3841,3849) = 14784009
LCM of 3841 and 3849
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3841 and 3849 by Prime method
- Least Common Multiple of 3841 and 3849 with GCF Formula
LCM of 3841 and 3849 is 14784009
Least common multiple can be found by multiplying the highest exponent prime factors of 3841 and 3849. First we will calculate the prime factors of 3841 and 3849.
Prime Factorization of 3841
| 23 | 3841 |
| 167 | 167 |
| 1 |
Prime factors of 3841 are 23,167. Prime factorization of 3841 in exponential form is:
3841 = 231×1671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3841 and 3849.
LCM(3841,3849) = 31×231×1671×12831
LCM(3841,3849) = 14784009
Factors of 3841
List of positive integer factors of 3841 that divides 3841 without a remainder.
1, 23, 167, 3841
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1, 3, 1283, 3849
Least Common Multiple of 3841 and 3849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3841 and 3849, than apply into the LCM equation.
GCF(3841,3849) = 1
LCM(3841,3849) = ( 3841 × 3849) / 1
LCM(3841,3849) = 14784009 / 1
LCM(3841,3849) = 14784009
Properties of LCM 3841 and 3849
(i) The LCM of 3849 and 3841 is associative
LCM of 3841 and 3849 = LCM of 3849 and 3841
Related Least Common Multiples of 3841
Related Least Common Multiples of 3849
Frequently Asked Questions on LCM of 3841 and 3849
1. What is the LCM of 3841 and 3849?
Answer: LCM of 3841 and 3849 is 14784009.
2. What are the Factors of 3841?
Answer: Factors of 3841 are 1, 23, 167, 3841. There are 4 integers that are factors of 3841. The greatest factor of 3841 is 3841.
3. 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.
4. How to Find the LCM of 3841 and 3849?
Answer:
Least Common Multiple of 3841 and 3849 = 14784009
Step 1: Find the prime factorization of 3841
3841 = 23 x 167
Step 2: Find the prime factorization of 3849
3849 = 3 x 1283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14784009 = 3 x 23 x 167 x 1283
Step 4: Therefore, the least common multiple of 3841 and 3849 is 14784009.