Least Common Multiple of 10006 and 10013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10006 and 10013 the smallest integer that is 100190078 that is divisible by both numbers.
Least Common Multiple (LCM) of 10006 and 10013 is 100190078.
LCM(10006,10013) = 100190078
LCM of 10006 and 10013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10006 and 10013 by Prime method
- Least Common Multiple of 10006 and 10013 with GCF Formula
LCM of 10006 and 10013 is 100190078
Least common multiple can be found by multiplying the highest exponent prime factors of 10006 and 10013. First we will calculate the prime factors of 10006 and 10013.
Prime Factorization of 10006
| 2 | 10006 |
| 5003 | 5003 |
| 1 |
Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:
10006 = 21×50031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10006 and 10013.
LCM(10006,10013) = 21×171×191×311×50031
LCM(10006,10013) = 100190078
Factors of 10006
List of positive integer factors of 10006 that divides 10006 without a remainder.
1, 2, 5003, 10006
Factors of 10013
List of positive integer factors of 10013 that divides 10013 without a remainder.
1, 17, 19, 31, 323, 527, 589, 10013
Least Common Multiple of 10006 and 10013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10006 and 10013, than apply into the LCM equation.
GCF(10006,10013) = 1
LCM(10006,10013) = ( 10006 × 10013) / 1
LCM(10006,10013) = 100190078 / 1
LCM(10006,10013) = 100190078
Properties of LCM 10006 and 10013
(i) The LCM of 10013 and 10006 is associative
LCM of 10006 and 10013 = LCM of 10013 and 10006
Related Least Common Multiples of 10006
Related Least Common Multiples of 10013
Frequently Asked Questions on LCM of 10006 and 10013
1. What is the LCM of 10006 and 10013?
Answer: LCM of 10006 and 10013 is 100190078.
2. What are the Factors of 10006?
Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.
3. 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.
4. How to Find the LCM of 10006 and 10013?
Answer:
Least Common Multiple of 10006 and 10013 = 100190078
Step 1: Find the prime factorization of 10006
10006 = 2 x 5003
Step 2: Find the prime factorization of 10013
10013 = 17 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100190078 = 2 x 17 x 19 x 31 x 5003
Step 4: Therefore, the least common multiple of 10006 and 10013 is 100190078.
