Least Common Multiple of 5161 and 5165
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 5165 the smallest integer that is 26656565 that is divisible by both numbers.
Least Common Multiple (LCM) of 5161 and 5165 is 26656565.
LCM(5161,5165) = 26656565
LCM of 5161 and 5165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5161 and 5165 by Prime method
- Least Common Multiple of 5161 and 5165 with GCF Formula
LCM of 5161 and 5165 is 26656565
Least common multiple can be found by multiplying the highest exponent prime factors of 5161 and 5165. First we will calculate the prime factors of 5161 and 5165.
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 5165
| 5 | 5165 |
| 1033 | 1033 |
| 1 |
Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:
5165 = 51×10331
Now multiplying the highest exponent prime factors to calculate the LCM of 5161 and 5165.
LCM(5161,5165) = 51×131×3971×10331
LCM(5161,5165) = 26656565
Factors of 5161
List of positive integer factors of 5161 that divides 5161 without a remainder.
1, 13, 397, 5161
Factors of 5165
List of positive integer factors of 5165 that divides 5165 without a remainder.
1, 5, 1033, 5165
Least Common Multiple of 5161 and 5165 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 5165, than apply into the LCM equation.
GCF(5161,5165) = 1
LCM(5161,5165) = ( 5161 × 5165) / 1
LCM(5161,5165) = 26656565 / 1
LCM(5161,5165) = 26656565
Properties of LCM 5161 and 5165
(i) The LCM of 5165 and 5161 is associative
LCM of 5161 and 5165 = LCM of 5165 and 5161
Related Least Common Multiples of 5161
Related Least Common Multiples of 5165
Frequently Asked Questions on LCM of 5161 and 5165
1. What is the LCM of 5161 and 5165?
Answer: LCM of 5161 and 5165 is 26656565.
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 5165?
Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.
4. How to Find the LCM of 5161 and 5165?
Answer:
Least Common Multiple of 5161 and 5165 = 26656565
Step 1: Find the prime factorization of 5161
5161 = 13 x 397
Step 2: Find the prime factorization of 5165
5165 = 5 x 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26656565 = 5 x 13 x 397 x 1033
Step 4: Therefore, the least common multiple of 5161 and 5165 is 26656565.