Least Common Multiple of 5177 and 5185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5177 and 5185 the smallest integer that is 26842745 that is divisible by both numbers.
Least Common Multiple (LCM) of 5177 and 5185 is 26842745.
LCM(5177,5185) = 26842745
LCM of 5177 and 5185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5177 and 5185 by Prime method
- Least Common Multiple of 5177 and 5185 with GCF Formula
LCM of 5177 and 5185 is 26842745
Least common multiple can be found by multiplying the highest exponent prime factors of 5177 and 5185. First we will calculate the prime factors of 5177 and 5185.
Prime Factorization of 5177
| 31 | 5177 |
| 167 | 167 |
| 1 |
Prime factors of 5177 are 31,167. Prime factorization of 5177 in exponential form is:
5177 = 311×1671
Prime Factorization of 5185
| 5 | 5185 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 5185 are 5, 17,61. Prime factorization of 5185 in exponential form is:
5185 = 51×171×611
Now multiplying the highest exponent prime factors to calculate the LCM of 5177 and 5185.
LCM(5177,5185) = 51×171×311×611×1671
LCM(5177,5185) = 26842745
Factors of 5177
List of positive integer factors of 5177 that divides 5177 without a remainder.
1, 31, 167, 5177
Factors of 5185
List of positive integer factors of 5185 that divides 5185 without a remainder.
1, 5, 17, 61, 85, 305, 1037, 5185
Least Common Multiple of 5177 and 5185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5177 and 5185, than apply into the LCM equation.
GCF(5177,5185) = 1
LCM(5177,5185) = ( 5177 × 5185) / 1
LCM(5177,5185) = 26842745 / 1
LCM(5177,5185) = 26842745
Properties of LCM 5177 and 5185
(i) The LCM of 5185 and 5177 is associative
LCM of 5177 and 5185 = LCM of 5185 and 5177
Related Least Common Multiples of 5177
Related Least Common Multiples of 5185
Frequently Asked Questions on LCM of 5177 and 5185
1. What is the LCM of 5177 and 5185?
Answer: LCM of 5177 and 5185 is 26842745.
2. What are the Factors of 5177?
Answer: Factors of 5177 are 1, 31, 167, 5177. There are 4 integers that are factors of 5177. The greatest factor of 5177 is 5177.
3. What are the Factors of 5185?
Answer: Factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185. There are 8 integers that are factors of 5185. The greatest factor of 5185 is 5185.
4. How to Find the LCM of 5177 and 5185?
Answer:
Least Common Multiple of 5177 and 5185 = 26842745
Step 1: Find the prime factorization of 5177
5177 = 31 x 167
Step 2: Find the prime factorization of 5185
5185 = 5 x 17 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26842745 = 5 x 17 x 31 x 61 x 167
Step 4: Therefore, the least common multiple of 5177 and 5185 is 26842745.