Least Common Multiple of 10001 and 10005
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10001 and 10005 the smallest integer that is 100060005 that is divisible by both numbers.
Least Common Multiple (LCM) of 10001 and 10005 is 100060005.
LCM(10001,10005) = 100060005
LCM of 10001 and 10005
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10001 and 10005 by Prime method
- Least Common Multiple of 10001 and 10005 with GCF Formula
LCM of 10001 and 10005 is 100060005
Least common multiple can be found by multiplying the highest exponent prime factors of 10001 and 10005. First we will calculate the prime factors of 10001 and 10005.
Prime Factorization of 10001
| 73 | 10001 |
| 137 | 137 |
| 1 |
Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:
10001 = 731×1371
Prime Factorization of 10005
| 3 | 10005 |
| 5 | 3335 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 10005 are 3, 5, 23,29. Prime factorization of 10005 in exponential form is:
10005 = 31×51×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 10001 and 10005.
LCM(10001,10005) = 31×51×231×291×731×1371
LCM(10001,10005) = 100060005
Factors of 10001
List of positive integer factors of 10001 that divides 10001 without a remainder.
1, 73, 137, 10001
Factors of 10005
List of positive integer factors of 10005 that divides 10005 without a remainder.
1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005
Least Common Multiple of 10001 and 10005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10001 and 10005, than apply into the LCM equation.
GCF(10001,10005) = 1
LCM(10001,10005) = ( 10001 × 10005) / 1
LCM(10001,10005) = 100060005 / 1
LCM(10001,10005) = 100060005
Properties of LCM 10001 and 10005
(i) The LCM of 10005 and 10001 is associative
LCM of 10001 and 10005 = LCM of 10005 and 10001
Related Least Common Multiples of 10001
Related Least Common Multiples of 10005
Frequently Asked Questions on LCM of 10001 and 10005
1. What is the LCM of 10001 and 10005?
Answer: LCM of 10001 and 10005 is 100060005.
2. What are the Factors of 10001?
Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.
3. What are the Factors of 10005?
Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.
4. How to Find the LCM of 10001 and 10005?
Answer:
Least Common Multiple of 10001 and 10005 = 100060005
Step 1: Find the prime factorization of 10001
10001 = 73 x 137
Step 2: Find the prime factorization of 10005
10005 = 3 x 5 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100060005 = 3 x 5 x 23 x 29 x 73 x 137
Step 4: Therefore, the least common multiple of 10001 and 10005 is 100060005.