Least Common Multiple of 10004 and 10009
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10004 and 10009 the smallest integer that is 100130036 that is divisible by both numbers.
Least Common Multiple (LCM) of 10004 and 10009 is 100130036.
LCM(10004,10009) = 100130036
LCM of 10004 and 10009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10004 and 10009 by Prime method
- Least Common Multiple of 10004 and 10009 with GCF Formula
LCM of 10004 and 10009 is 100130036
Least common multiple can be found by multiplying the highest exponent prime factors of 10004 and 10009. First we will calculate the prime factors of 10004 and 10009.
Prime Factorization of 10004
| 2 | 10004 |
| 2 | 5002 |
| 41 | 2501 |
| 61 | 61 |
| 1 |
Prime factors of 10004 are 2, 41,61. Prime factorization of 10004 in exponential form is:
10004 = 22×411×611
Prime Factorization of 10009
| 10009 | 10009 |
| 1 |
Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:
10009 = 100091
Now multiplying the highest exponent prime factors to calculate the LCM of 10004 and 10009.
LCM(10004,10009) = 22×411×611×100091
LCM(10004,10009) = 100130036
Factors of 10004
List of positive integer factors of 10004 that divides 10004 without a remainder.
1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004
Factors of 10009
List of positive integer factors of 10009 that divides 10009 without a remainder.
1, 10009
Least Common Multiple of 10004 and 10009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10004 and 10009, than apply into the LCM equation.
GCF(10004,10009) = 1
LCM(10004,10009) = ( 10004 × 10009) / 1
LCM(10004,10009) = 100130036 / 1
LCM(10004,10009) = 100130036
Properties of LCM 10004 and 10009
(i) The LCM of 10009 and 10004 is associative
LCM of 10004 and 10009 = LCM of 10009 and 10004
Related Least Common Multiples of 10004
Related Least Common Multiples of 10009
Frequently Asked Questions on LCM of 10004 and 10009
1. What is the LCM of 10004 and 10009?
Answer: LCM of 10004 and 10009 is 100130036.
2. What are the Factors of 10004?
Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.
3. What are the Factors of 10009?
Answer: Factors of 10009 are 1, 10009. There are 2 integers that are factors of 10009. The greatest factor of 10009 is 10009.
4. How to Find the LCM of 10004 and 10009?
Answer:
Least Common Multiple of 10004 and 10009 = 100130036
Step 1: Find the prime factorization of 10004
10004 = 2 x 2 x 41 x 61
Step 2: Find the prime factorization of 10009
10009 = 10009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100130036 = 2 x 2 x 41 x 61 x 10009
Step 4: Therefore, the least common multiple of 10004 and 10009 is 100130036.
