Least Common Multiple of 10010 and 10015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10010 and 10015 the smallest integer that is 20050030 that is divisible by both numbers.
Least Common Multiple (LCM) of 10010 and 10015 is 20050030.
LCM(10010,10015) = 20050030
LCM of 10010 and 10015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10010 and 10015 by Prime method
- Least Common Multiple of 10010 and 10015 with GCF Formula
LCM of 10010 and 10015 is 20050030
Least common multiple can be found by multiplying the highest exponent prime factors of 10010 and 10015. First we will calculate the prime factors of 10010 and 10015.
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
Prime Factorization of 10015
| 5 | 10015 |
| 2003 | 2003 |
| 1 |
Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:
10015 = 51×20031
Now multiplying the highest exponent prime factors to calculate the LCM of 10010 and 10015.
LCM(10010,10015) = 21×51×71×111×131×20031
LCM(10010,10015) = 20050030
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
Factors of 10015
List of positive integer factors of 10015 that divides 10015 without a remainder.
1, 5, 2003, 10015
Least Common Multiple of 10010 and 10015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10010 and 10015, than apply into the LCM equation.
GCF(10010,10015) = 5
LCM(10010,10015) = ( 10010 × 10015) / 5
LCM(10010,10015) = 100250150 / 5
LCM(10010,10015) = 20050030
Properties of LCM 10010 and 10015
(i) The LCM of 10015 and 10010 is associative
LCM of 10010 and 10015 = LCM of 10015 and 10010
Related Least Common Multiples of 10010
Related Least Common Multiples of 10015
Frequently Asked Questions on LCM of 10010 and 10015
1. What is the LCM of 10010 and 10015?
Answer: LCM of 10010 and 10015 is 20050030.
2. 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.
3. What are the Factors of 10015?
Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.
4. How to Find the LCM of 10010 and 10015?
Answer:
Least Common Multiple of 10010 and 10015 = 20050030
Step 1: Find the prime factorization of 10010
10010 = 2 x 5 x 7 x 11 x 13
Step 2: Find the prime factorization of 10015
10015 = 5 x 2003
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20050030 = 2 x 5 x 7 x 11 x 13 x 2003
Step 4: Therefore, the least common multiple of 10010 and 10015 is 20050030.
