Least Common Multiple of 5113 and 5117
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5113 and 5117 the smallest integer that is 26163221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5113 and 5117 is 26163221.
LCM(5113,5117) = 26163221
LCM of 5113 and 5117
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5113 and 5117 by Prime method
- Least Common Multiple of 5113 and 5117 with GCF Formula
LCM of 5113 and 5117 is 26163221
Least common multiple can be found by multiplying the highest exponent prime factors of 5113 and 5117. First we will calculate the prime factors of 5113 and 5117.
Prime Factorization of 5113
| 5113 | 5113 |
| 1 |
Prime factors of 5113 are 5113. Prime factorization of 5113 in exponential form is:
5113 = 51131
Prime Factorization of 5117
| 7 | 5117 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 5117 are 7, 17,43. Prime factorization of 5117 in exponential form is:
5117 = 71×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 5113 and 5117.
LCM(5113,5117) = 71×171×431×51131
LCM(5113,5117) = 26163221
Factors of 5113
List of positive integer factors of 5113 that divides 5113 without a remainder.
1, 5113
Factors of 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1, 7, 17, 43, 119, 301, 731, 5117
Least Common Multiple of 5113 and 5117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5113 and 5117, than apply into the LCM equation.
GCF(5113,5117) = 1
LCM(5113,5117) = ( 5113 × 5117) / 1
LCM(5113,5117) = 26163221 / 1
LCM(5113,5117) = 26163221
Properties of LCM 5113 and 5117
(i) The LCM of 5117 and 5113 is associative
LCM of 5113 and 5117 = LCM of 5117 and 5113
Related Least Common Multiples of 5113
Related Least Common Multiples of 5117
Frequently Asked Questions on LCM of 5113 and 5117
1. What is the LCM of 5113 and 5117?
Answer: LCM of 5113 and 5117 is 26163221.
2. What are the Factors of 5113?
Answer: Factors of 5113 are 1, 5113. There are 2 integers that are factors of 5113. The greatest factor of 5113 is 5113.
3. What are the Factors of 5117?
Answer: Factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117. There are 8 integers that are factors of 5117. The greatest factor of 5117 is 5117.
4. How to Find the LCM of 5113 and 5117?
Answer:
Least Common Multiple of 5113 and 5117 = 26163221
Step 1: Find the prime factorization of 5113
5113 = 5113
Step 2: Find the prime factorization of 5117
5117 = 7 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26163221 = 7 x 17 x 43 x 5113
Step 4: Therefore, the least common multiple of 5113 and 5117 is 26163221.