Least Common Multiple of 1001 and 1009
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 1009 the smallest integer that is 1010009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1001 and 1009 is 1010009.
LCM(1001,1009) = 1010009
LCM of 1001 and 1009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1001 and 1009 by Prime method
- Least Common Multiple of 1001 and 1009 with GCF Formula
LCM of 1001 and 1009 is 1010009
Least common multiple can be found by multiplying the highest exponent prime factors of 1001 and 1009. First we will calculate the prime factors of 1001 and 1009.
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 1009
| 1009 | 1009 |
| 1 |
Prime factors of 1009 are 1009. Prime factorization of 1009 in exponential form is:
1009 = 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 1001 and 1009.
LCM(1001,1009) = 71×111×131×10091
LCM(1001,1009) = 1010009
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 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1, 1009
Least Common Multiple of 1001 and 1009 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 1009, than apply into the LCM equation.
GCF(1001,1009) = 1
LCM(1001,1009) = ( 1001 × 1009) / 1
LCM(1001,1009) = 1010009 / 1
LCM(1001,1009) = 1010009
Properties of LCM 1001 and 1009
(i) The LCM of 1009 and 1001 is associative
LCM of 1001 and 1009 = LCM of 1009 and 1001
Related Least Common Multiples of 1001
Related Least Common Multiples of 1009
Frequently Asked Questions on LCM of 1001 and 1009
1. What is the LCM of 1001 and 1009?
Answer: LCM of 1001 and 1009 is 1010009.
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 1009?
Answer: Factors of 1009 are 1, 1009. There are 2 integers that are factors of 1009. The greatest factor of 1009 is 1009.
4. How to Find the LCM of 1001 and 1009?
Answer:
Least Common Multiple of 1001 and 1009 = 1010009
Step 1: Find the prime factorization of 1001
1001 = 7 x 11 x 13
Step 2: Find the prime factorization of 1009
1009 = 1009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1010009 = 7 x 11 x 13 x 1009
Step 4: Therefore, the least common multiple of 1001 and 1009 is 1010009.
