Least Common Multiple of 3861 and 3869
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3861 and 3869 the smallest integer that is 14938209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3861 and 3869 is 14938209.
LCM(3861,3869) = 14938209
LCM of 3861 and 3869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3861 and 3869 by Prime method
- Least Common Multiple of 3861 and 3869 with GCF Formula
LCM of 3861 and 3869 is 14938209
Least common multiple can be found by multiplying the highest exponent prime factors of 3861 and 3869. First we will calculate the prime factors of 3861 and 3869.
Prime Factorization of 3861
| 3 | 3861 |
| 3 | 1287 |
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 3861 are 3, 11,13. Prime factorization of 3861 in exponential form is:
3861 = 33×111×131
Prime Factorization of 3869
| 53 | 3869 |
| 73 | 73 |
| 1 |
Prime factors of 3869 are 53,73. Prime factorization of 3869 in exponential form is:
3869 = 531×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3861 and 3869.
LCM(3861,3869) = 33×111×131×531×731
LCM(3861,3869) = 14938209
Factors of 3861
List of positive integer factors of 3861 that divides 3861 without a remainder.
1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861
Factors of 3869
List of positive integer factors of 3869 that divides 3869 without a remainder.
1, 53, 73, 3869
Least Common Multiple of 3861 and 3869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3861 and 3869, than apply into the LCM equation.
GCF(3861,3869) = 1
LCM(3861,3869) = ( 3861 × 3869) / 1
LCM(3861,3869) = 14938209 / 1
LCM(3861,3869) = 14938209
Properties of LCM 3861 and 3869
(i) The LCM of 3869 and 3861 is associative
LCM of 3861 and 3869 = LCM of 3869 and 3861
Related Least Common Multiples of 3861
Related Least Common Multiples of 3869
Frequently Asked Questions on LCM of 3861 and 3869
1. What is the LCM of 3861 and 3869?
Answer: LCM of 3861 and 3869 is 14938209.
2. What are the Factors of 3861?
Answer: Factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861. There are 16 integers that are factors of 3861. The greatest factor of 3861 is 3861.
3. What are the Factors of 3869?
Answer: Factors of 3869 are 1, 53, 73, 3869. There are 4 integers that are factors of 3869. The greatest factor of 3869 is 3869.
4. How to Find the LCM of 3861 and 3869?
Answer:
Least Common Multiple of 3861 and 3869 = 14938209
Step 1: Find the prime factorization of 3861
3861 = 3 x 3 x 3 x 11 x 13
Step 2: Find the prime factorization of 3869
3869 = 53 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14938209 = 3 x 3 x 3 x 11 x 13 x 53 x 73
Step 4: Therefore, the least common multiple of 3861 and 3869 is 14938209.