Least Common Multiple of 13161 and 13167
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13161 and 13167 the smallest integer that is 57763629 that is divisible by both numbers.
Least Common Multiple (LCM) of 13161 and 13167 is 57763629.
LCM(13161,13167) = 57763629
LCM of 13161 and 13167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13161 and 13167 by Prime method
- Least Common Multiple of 13161 and 13167 with GCF Formula
LCM of 13161 and 13167 is 57763629
Least common multiple can be found by multiplying the highest exponent prime factors of 13161 and 13167. First we will calculate the prime factors of 13161 and 13167.
Prime Factorization of 13161
| 3 | 13161 |
| 41 | 4387 |
| 107 | 107 |
| 1 |
Prime factors of 13161 are 3, 41,107. Prime factorization of 13161 in exponential form is:
13161 = 31×411×1071
Prime Factorization of 13167
| 3 | 13167 |
| 3 | 4389 |
| 7 | 1463 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 13167 are 3, 7, 11,19. Prime factorization of 13167 in exponential form is:
13167 = 32×71×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 13161 and 13167.
LCM(13161,13167) = 32×71×111×191×411×1071
LCM(13161,13167) = 57763629
Factors of 13161
List of positive integer factors of 13161 that divides 13161 without a remainder.
1, 3, 41, 107, 123, 321, 4387, 13161
Factors of 13167
List of positive integer factors of 13167 that divides 13167 without a remainder.
1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167
Least Common Multiple of 13161 and 13167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13161 and 13167, than apply into the LCM equation.
GCF(13161,13167) = 3
LCM(13161,13167) = ( 13161 × 13167) / 3
LCM(13161,13167) = 173290887 / 3
LCM(13161,13167) = 57763629
Properties of LCM 13161 and 13167
(i) The LCM of 13167 and 13161 is associative
LCM of 13161 and 13167 = LCM of 13167 and 13161
Related Least Common Multiples of 13161
Related Least Common Multiples of 13167
Frequently Asked Questions on LCM of 13161 and 13167
1. What is the LCM of 13161 and 13167?
Answer: LCM of 13161 and 13167 is 57763629.
2. What are the Factors of 13161?
Answer: Factors of 13161 are 1, 3, 41, 107, 123, 321, 4387, 13161. There are 8 integers that are factors of 13161. The greatest factor of 13161 is 13161.
3. What are the Factors of 13167?
Answer: Factors of 13167 are 1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167. There are 24 integers that are factors of 13167. The greatest factor of 13167 is 13167.
4. How to Find the LCM of 13161 and 13167?
Answer:
Least Common Multiple of 13161 and 13167 = 57763629
Step 1: Find the prime factorization of 13161
13161 = 3 x 41 x 107
Step 2: Find the prime factorization of 13167
13167 = 3 x 3 x 7 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57763629 = 3 x 3 x 7 x 11 x 19 x 41 x 107
Step 4: Therefore, the least common multiple of 13161 and 13167 is 57763629.