Least Common Multiple of 10013 and 10017
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10013 and 10017 the smallest integer that is 100300221 that is divisible by both numbers.
Least Common Multiple (LCM) of 10013 and 10017 is 100300221.
LCM(10013,10017) = 100300221
LCM of 10013 and 10017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10013 and 10017 by Prime method
- Least Common Multiple of 10013 and 10017 with GCF Formula
LCM of 10013 and 10017 is 100300221
Least common multiple can be found by multiplying the highest exponent prime factors of 10013 and 10017. First we will calculate the prime factors of 10013 and 10017.
Prime Factorization of 10013
| 17 | 10013 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 10013 are 17, 19,31. Prime factorization of 10013 in exponential form is:
10013 = 171×191×311
Prime Factorization of 10017
| 3 | 10017 |
| 3 | 3339 |
| 3 | 1113 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 10017 are 3, 7,53. Prime factorization of 10017 in exponential form is:
10017 = 33×71×531
Now multiplying the highest exponent prime factors to calculate the LCM of 10013 and 10017.
LCM(10013,10017) = 33×71×171×191×311×531
LCM(10013,10017) = 100300221
Factors of 10013
List of positive integer factors of 10013 that divides 10013 without a remainder.
1, 17, 19, 31, 323, 527, 589, 10013
Factors of 10017
List of positive integer factors of 10017 that divides 10017 without a remainder.
1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017
Least Common Multiple of 10013 and 10017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10013 and 10017, than apply into the LCM equation.
GCF(10013,10017) = 1
LCM(10013,10017) = ( 10013 × 10017) / 1
LCM(10013,10017) = 100300221 / 1
LCM(10013,10017) = 100300221
Properties of LCM 10013 and 10017
(i) The LCM of 10017 and 10013 is associative
LCM of 10013 and 10017 = LCM of 10017 and 10013
Related Least Common Multiples of 10013
Related Least Common Multiples of 10017
Frequently Asked Questions on LCM of 10013 and 10017
1. What is the LCM of 10013 and 10017?
Answer: LCM of 10013 and 10017 is 100300221.
2. What are the Factors of 10013?
Answer: Factors of 10013 are 1, 17, 19, 31, 323, 527, 589, 10013. There are 8 integers that are factors of 10013. The greatest factor of 10013 is 10013.
3. What are the Factors of 10017?
Answer: Factors of 10017 are 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017. There are 16 integers that are factors of 10017. The greatest factor of 10017 is 10017.
4. How to Find the LCM of 10013 and 10017?
Answer:
Least Common Multiple of 10013 and 10017 = 100300221
Step 1: Find the prime factorization of 10013
10013 = 17 x 19 x 31
Step 2: Find the prime factorization of 10017
10017 = 3 x 3 x 3 x 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100300221 = 3 x 3 x 3 x 7 x 17 x 19 x 31 x 53
Step 4: Therefore, the least common multiple of 10013 and 10017 is 100300221.
