Least Common Multiple of 10003 and 10010
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 10010 the smallest integer that is 14304290 that is divisible by both numbers.
Least Common Multiple (LCM) of 10003 and 10010 is 14304290.
LCM(10003,10010) = 14304290
LCM of 10003 and 10010
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10003 and 10010 by Prime method
- Least Common Multiple of 10003 and 10010 with GCF Formula
LCM of 10003 and 10010 is 14304290
Least common multiple can be found by multiplying the highest exponent prime factors of 10003 and 10010. First we will calculate the prime factors of 10003 and 10010.
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 10010
| 2 | 10010 |
| 5 | 5005 |
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 10010 are 2, 5, 7, 11,13. Prime factorization of 10010 in exponential form is:
10010 = 21×51×71×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 10003 and 10010.
LCM(10003,10010) = 21×51×71×111×131×14291
LCM(10003,10010) = 14304290
Factors of 10003
List of positive integer factors of 10003 that divides 10003 without a remainder.
1, 7, 1429, 10003
Factors of 10010
List of positive integer factors of 10010 that divides 10010 without a remainder.
1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010
Least Common Multiple of 10003 and 10010 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 10010, than apply into the LCM equation.
GCF(10003,10010) = 7
LCM(10003,10010) = ( 10003 × 10010) / 7
LCM(10003,10010) = 100130030 / 7
LCM(10003,10010) = 14304290
Properties of LCM 10003 and 10010
(i) The LCM of 10010 and 10003 is associative
LCM of 10003 and 10010 = LCM of 10010 and 10003
Related Least Common Multiples of 10003
Related Least Common Multiples of 10010
Frequently Asked Questions on LCM of 10003 and 10010
1. What is the LCM of 10003 and 10010?
Answer: LCM of 10003 and 10010 is 14304290.
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 10010?
Answer: Factors of 10010 are 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010. There are 32 integers that are factors of 10010. The greatest factor of 10010 is 10010.
4. How to Find the LCM of 10003 and 10010?
Answer:
Least Common Multiple of 10003 and 10010 = 14304290
Step 1: Find the prime factorization of 10003
10003 = 7 x 1429
Step 2: Find the prime factorization of 10010
10010 = 2 x 5 x 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14304290 = 2 x 5 x 7 x 11 x 13 x 1429
Step 4: Therefore, the least common multiple of 10003 and 10010 is 14304290.