Least Common Multiple of 10003 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 10003 and 10005 the smallest integer that is 100080015 that is divisible by both numbers.
Least Common Multiple (LCM) of 10003 and 10005 is 100080015.
LCM(10003,10005) = 100080015
LCM of 10003 and 10005
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10003 and 10005 by Prime method
- Least Common Multiple of 10003 and 10005 with GCF Formula
LCM of 10003 and 10005 is 100080015
Least common multiple can be found by multiplying the highest exponent prime factors of 10003 and 10005. First we will calculate the prime factors of 10003 and 10005.
Prime Factorization of 10003
| 7 | 10003 |
| 1429 | 1429 |
| 1 |
Prime factors of 10003 are 7,1429. Prime factorization of 10003 in exponential form is:
10003 = 71×14291
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 10003 and 10005.
LCM(10003,10005) = 31×51×71×231×291×14291
LCM(10003,10005) = 100080015
Factors of 10003
List of positive integer factors of 10003 that divides 10003 without a remainder.
1, 7, 1429, 10003
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 10003 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 10003 and 10005, than apply into the LCM equation.
GCF(10003,10005) = 1
LCM(10003,10005) = ( 10003 × 10005) / 1
LCM(10003,10005) = 100080015 / 1
LCM(10003,10005) = 100080015
Properties of LCM 10003 and 10005
(i) The LCM of 10005 and 10003 is associative
LCM of 10003 and 10005 = LCM of 10005 and 10003
Related Least Common Multiples of 10003
Related Least Common Multiples of 10005
Frequently Asked Questions on LCM of 10003 and 10005
1. What is the LCM of 10003 and 10005?
Answer: LCM of 10003 and 10005 is 100080015.
2. What are the Factors of 10003?
Answer: Factors of 10003 are 1, 7, 1429, 10003. There are 4 integers that are factors of 10003. The greatest factor of 10003 is 10003.
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 10003 and 10005?
Answer:
Least Common Multiple of 10003 and 10005 = 100080015
Step 1: Find the prime factorization of 10003
10003 = 7 x 1429
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 = 100080015 = 3 x 5 x 7 x 23 x 29 x 1429
Step 4: Therefore, the least common multiple of 10003 and 10005 is 100080015.
