Least Common Multiple of 10001 and 10003
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 10003 the smallest integer that is 100040003 that is divisible by both numbers.
Least Common Multiple (LCM) of 10001 and 10003 is 100040003.
LCM(10001,10003) = 100040003
LCM of 10001 and 10003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10001 and 10003 by Prime method
- Least Common Multiple of 10001 and 10003 with GCF Formula
LCM of 10001 and 10003 is 100040003
Least common multiple can be found by multiplying the highest exponent prime factors of 10001 and 10003. First we will calculate the prime factors of 10001 and 10003.
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 10003
| 7 | 10003 |
| 1429 | 1429 |
| 1 |
Prime factors of 10003 are 7,1429. Prime factorization of 10003 in exponential form is:
10003 = 71×14291
Now multiplying the highest exponent prime factors to calculate the LCM of 10001 and 10003.
LCM(10001,10003) = 71×731×1371×14291
LCM(10001,10003) = 100040003
Factors of 10001
List of positive integer factors of 10001 that divides 10001 without a remainder.
1, 73, 137, 10001
Factors of 10003
List of positive integer factors of 10003 that divides 10003 without a remainder.
1, 7, 1429, 10003
Least Common Multiple of 10001 and 10003 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 10003, than apply into the LCM equation.
GCF(10001,10003) = 1
LCM(10001,10003) = ( 10001 × 10003) / 1
LCM(10001,10003) = 100040003 / 1
LCM(10001,10003) = 100040003
Properties of LCM 10001 and 10003
(i) The LCM of 10003 and 10001 is associative
LCM of 10001 and 10003 = LCM of 10003 and 10001
Related Least Common Multiples of 10001
Related Least Common Multiples of 10003
Frequently Asked Questions on LCM of 10001 and 10003
1. What is the LCM of 10001 and 10003?
Answer: LCM of 10001 and 10003 is 100040003.
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 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.
4. How to Find the LCM of 10001 and 10003?
Answer:
Least Common Multiple of 10001 and 10003 = 100040003
Step 1: Find the prime factorization of 10001
10001 = 73 x 137
Step 2: Find the prime factorization of 10003
10003 = 7 x 1429
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100040003 = 7 x 73 x 137 x 1429
Step 4: Therefore, the least common multiple of 10001 and 10003 is 100040003.
