Least Common Multiple of 1001 and 1007
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 1007 the smallest integer that is 1008007 that is divisible by both numbers.
Least Common Multiple (LCM) of 1001 and 1007 is 1008007.
LCM(1001,1007) = 1008007
LCM of 1001 and 1007
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1001 and 1007 by Prime method
- Least Common Multiple of 1001 and 1007 with GCF Formula
LCM of 1001 and 1007 is 1008007
Least common multiple can be found by multiplying the highest exponent prime factors of 1001 and 1007. First we will calculate the prime factors of 1001 and 1007.
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 1007
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 1007 are 19,53. Prime factorization of 1007 in exponential form is:
1007 = 191×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1001 and 1007.
LCM(1001,1007) = 71×111×131×191×531
LCM(1001,1007) = 1008007
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 1007
List of positive integer factors of 1007 that divides 1007 without a remainder.
1, 19, 53, 1007
Least Common Multiple of 1001 and 1007 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 1007, than apply into the LCM equation.
GCF(1001,1007) = 1
LCM(1001,1007) = ( 1001 × 1007) / 1
LCM(1001,1007) = 1008007 / 1
LCM(1001,1007) = 1008007
Properties of LCM 1001 and 1007
(i) The LCM of 1007 and 1001 is associative
LCM of 1001 and 1007 = LCM of 1007 and 1001
Related Least Common Multiples of 1001
Related Least Common Multiples of 1007
Frequently Asked Questions on LCM of 1001 and 1007
1. What is the LCM of 1001 and 1007?
Answer: LCM of 1001 and 1007 is 1008007.
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 1007?
Answer: Factors of 1007 are 1, 19, 53, 1007. There are 4 integers that are factors of 1007. The greatest factor of 1007 is 1007.
4. How to Find the LCM of 1001 and 1007?
Answer:
Least Common Multiple of 1001 and 1007 = 1008007
Step 1: Find the prime factorization of 1001
1001 = 7 x 11 x 13
Step 2: Find the prime factorization of 1007
1007 = 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1008007 = 7 x 11 x 13 x 19 x 53
Step 4: Therefore, the least common multiple of 1001 and 1007 is 1008007.
