Least Common Multiple of 5161 and 5166
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5161 and 5166 the smallest integer that is 26661726 that is divisible by both numbers.
Least Common Multiple (LCM) of 5161 and 5166 is 26661726.
LCM(5161,5166) = 26661726
LCM of 5161 and 5166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5161 and 5166 by Prime method
- Least Common Multiple of 5161 and 5166 with GCF Formula
LCM of 5161 and 5166 is 26661726
Least common multiple can be found by multiplying the highest exponent prime factors of 5161 and 5166. First we will calculate the prime factors of 5161 and 5166.
Prime Factorization of 5161
| 13 | 5161 |
| 397 | 397 |
| 1 |
Prime factors of 5161 are 13,397. Prime factorization of 5161 in exponential form is:
5161 = 131×3971
Prime Factorization of 5166
| 2 | 5166 |
| 3 | 2583 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 5166 are 2, 3, 7,41. Prime factorization of 5166 in exponential form is:
5166 = 21×32×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5161 and 5166.
LCM(5161,5166) = 21×32×71×131×411×3971
LCM(5161,5166) = 26661726
Factors of 5161
List of positive integer factors of 5161 that divides 5161 without a remainder.
1, 13, 397, 5161
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
Least Common Multiple of 5161 and 5166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5161 and 5166, than apply into the LCM equation.
GCF(5161,5166) = 1
LCM(5161,5166) = ( 5161 × 5166) / 1
LCM(5161,5166) = 26661726 / 1
LCM(5161,5166) = 26661726
Properties of LCM 5161 and 5166
(i) The LCM of 5166 and 5161 is associative
LCM of 5161 and 5166 = LCM of 5166 and 5161
Related Least Common Multiples of 5161
Related Least Common Multiples of 5166
Frequently Asked Questions on LCM of 5161 and 5166
1. What is the LCM of 5161 and 5166?
Answer: LCM of 5161 and 5166 is 26661726.
2. What are the Factors of 5161?
Answer: Factors of 5161 are 1, 13, 397, 5161. There are 4 integers that are factors of 5161. The greatest factor of 5161 is 5161.
3. What are the Factors of 5166?
Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.
4. How to Find the LCM of 5161 and 5166?
Answer:
Least Common Multiple of 5161 and 5166 = 26661726
Step 1: Find the prime factorization of 5161
5161 = 13 x 397
Step 2: Find the prime factorization of 5166
5166 = 2 x 3 x 3 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26661726 = 2 x 3 x 3 x 7 x 13 x 41 x 397
Step 4: Therefore, the least common multiple of 5161 and 5166 is 26661726.