Least Common Multiple of 1001 and 1003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1001 and 1003 the smallest integer that is 1004003 that is divisible by both numbers.
Least Common Multiple (LCM) of 1001 and 1003 is 1004003.
LCM(1001,1003) = 1004003
LCM of 1001 and 1003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1001 and 1003 by Prime method
- Least Common Multiple of 1001 and 1003 with GCF Formula
LCM of 1001 and 1003 is 1004003
Least common multiple can be found by multiplying the highest exponent prime factors of 1001 and 1003. First we will calculate the prime factors of 1001 and 1003.
Prime Factorization of 1001
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:
1001 = 71×111×131
Prime Factorization of 1003
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 1003 are 17,59. Prime factorization of 1003 in exponential form is:
1003 = 171×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1001 and 1003.
LCM(1001,1003) = 71×111×131×171×591
LCM(1001,1003) = 1004003
Factors of 1001
List of positive integer factors of 1001 that divides 1001 without a remainder.
1, 7, 11, 13, 77, 91, 143, 1001
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1, 17, 59, 1003
Least Common Multiple of 1001 and 1003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1001 and 1003, than apply into the LCM equation.
GCF(1001,1003) = 1
LCM(1001,1003) = ( 1001 × 1003) / 1
LCM(1001,1003) = 1004003 / 1
LCM(1001,1003) = 1004003
Properties of LCM 1001 and 1003
(i) The LCM of 1003 and 1001 is associative
LCM of 1001 and 1003 = LCM of 1003 and 1001
Related Least Common Multiples of 1001
Related Least Common Multiples of 1003
Frequently Asked Questions on LCM of 1001 and 1003
1. What is the LCM of 1001 and 1003?
Answer: LCM of 1001 and 1003 is 1004003.
2. What are the Factors of 1001?
Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.
3. What are the Factors of 1003?
Answer: Factors of 1003 are 1, 17, 59, 1003. There are 4 integers that are factors of 1003. The greatest factor of 1003 is 1003.
4. How to Find the LCM of 1001 and 1003?
Answer:
Least Common Multiple of 1001 and 1003 = 1004003
Step 1: Find the prime factorization of 1001
1001 = 7 x 11 x 13
Step 2: Find the prime factorization of 1003
1003 = 17 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1004003 = 7 x 11 x 13 x 17 x 59
Step 4: Therefore, the least common multiple of 1001 and 1003 is 1004003.
