Least Common Multiple of 5170 and 5177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5170 and 5177 the smallest integer that is 26765090 that is divisible by both numbers.
Least Common Multiple (LCM) of 5170 and 5177 is 26765090.
LCM(5170,5177) = 26765090
LCM of 5170 and 5177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5170 and 5177 by Prime method
- Least Common Multiple of 5170 and 5177 with GCF Formula
LCM of 5170 and 5177 is 26765090
Least common multiple can be found by multiplying the highest exponent prime factors of 5170 and 5177. First we will calculate the prime factors of 5170 and 5177.
Prime Factorization of 5170
| 2 | 5170 |
| 5 | 2585 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 5170 are 2, 5, 11,47. Prime factorization of 5170 in exponential form is:
5170 = 21×51×111×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5170 and 5177.
LCM(5170,5177) = 21×51×111×311×471×1671
LCM(5170,5177) = 26765090
Factors of 5170
List of positive integer factors of 5170 that divides 5170 without a remainder.
1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170
Factors of 5177
List of positive integer factors of 5177 that divides 5177 without a remainder.
1, 31, 167, 5177
Least Common Multiple of 5170 and 5177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5170 and 5177, than apply into the LCM equation.
GCF(5170,5177) = 1
LCM(5170,5177) = ( 5170 × 5177) / 1
LCM(5170,5177) = 26765090 / 1
LCM(5170,5177) = 26765090
Properties of LCM 5170 and 5177
(i) The LCM of 5177 and 5170 is associative
LCM of 5170 and 5177 = LCM of 5177 and 5170
Related Least Common Multiples of 5170
Related Least Common Multiples of 5177
Frequently Asked Questions on LCM of 5170 and 5177
1. What is the LCM of 5170 and 5177?
Answer: LCM of 5170 and 5177 is 26765090.
2. What are the Factors of 5170?
Answer: Factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170. There are 16 integers that are factors of 5170. The greatest factor of 5170 is 5170.
3. 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.
4. How to Find the LCM of 5170 and 5177?
Answer:
Least Common Multiple of 5170 and 5177 = 26765090
Step 1: Find the prime factorization of 5170
5170 = 2 x 5 x 11 x 47
Step 2: Find the prime factorization of 5177
5177 = 31 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26765090 = 2 x 5 x 11 x 31 x 47 x 167
Step 4: Therefore, the least common multiple of 5170 and 5177 is 26765090.