Least Common Multiple of 5117 and 5121
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5117 and 5121 the smallest integer that is 26204157 that is divisible by both numbers.
Least Common Multiple (LCM) of 5117 and 5121 is 26204157.
LCM(5117,5121) = 26204157
LCM of 5117 and 5121
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5117 and 5121 by Prime method
- Least Common Multiple of 5117 and 5121 with GCF Formula
LCM of 5117 and 5121 is 26204157
Least common multiple can be found by multiplying the highest exponent prime factors of 5117 and 5121. First we will calculate the prime factors of 5117 and 5121.
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
Prime Factorization of 5121
| 3 | 5121 |
| 3 | 1707 |
| 569 | 569 |
| 1 |
Prime factors of 5121 are 3,569. Prime factorization of 5121 in exponential form is:
5121 = 32×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 5117 and 5121.
LCM(5117,5121) = 32×71×171×431×5691
LCM(5117,5121) = 26204157
Factors of 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1, 7, 17, 43, 119, 301, 731, 5117
Factors of 5121
List of positive integer factors of 5121 that divides 5121 without a remainder.
1, 3, 9, 569, 1707, 5121
Least Common Multiple of 5117 and 5121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5117 and 5121, than apply into the LCM equation.
GCF(5117,5121) = 1
LCM(5117,5121) = ( 5117 × 5121) / 1
LCM(5117,5121) = 26204157 / 1
LCM(5117,5121) = 26204157
Properties of LCM 5117 and 5121
(i) The LCM of 5121 and 5117 is associative
LCM of 5117 and 5121 = LCM of 5121 and 5117
Related Least Common Multiples of 5117
Related Least Common Multiples of 5121
Frequently Asked Questions on LCM of 5117 and 5121
1. What is the LCM of 5117 and 5121?
Answer: LCM of 5117 and 5121 is 26204157.
2. 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.
3. What are the Factors of 5121?
Answer: Factors of 5121 are 1, 3, 9, 569, 1707, 5121. There are 6 integers that are factors of 5121. The greatest factor of 5121 is 5121.
4. How to Find the LCM of 5117 and 5121?
Answer:
Least Common Multiple of 5117 and 5121 = 26204157
Step 1: Find the prime factorization of 5117
5117 = 7 x 17 x 43
Step 2: Find the prime factorization of 5121
5121 = 3 x 3 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26204157 = 3 x 3 x 7 x 17 x 43 x 569
Step 4: Therefore, the least common multiple of 5117 and 5121 is 26204157.