Least Common Multiple of 9001 and 9009
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9001 and 9009 the smallest integer that is 81090009 that is divisible by both numbers.
Least Common Multiple (LCM) of 9001 and 9009 is 81090009.
LCM(9001,9009) = 81090009
LCM of 9001 and 9009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9001 and 9009 by Prime method
- Least Common Multiple of 9001 and 9009 with GCF Formula
LCM of 9001 and 9009 is 81090009
Least common multiple can be found by multiplying the highest exponent prime factors of 9001 and 9009. First we will calculate the prime factors of 9001 and 9009.
Prime Factorization of 9001
| 9001 | 9001 |
| 1 |
Prime factors of 9001 are 9001. Prime factorization of 9001 in exponential form is:
9001 = 90011
Prime Factorization of 9009
| 3 | 9009 |
| 3 | 3003 |
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 9009 are 3, 7, 11,13. Prime factorization of 9009 in exponential form is:
9009 = 32×71×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 9001 and 9009.
LCM(9001,9009) = 32×71×111×131×90011
LCM(9001,9009) = 81090009
Factors of 9001
List of positive integer factors of 9001 that divides 9001 without a remainder.
1, 9001
Factors of 9009
List of positive integer factors of 9009 that divides 9009 without a remainder.
1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009
Least Common Multiple of 9001 and 9009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9001 and 9009, than apply into the LCM equation.
GCF(9001,9009) = 1
LCM(9001,9009) = ( 9001 × 9009) / 1
LCM(9001,9009) = 81090009 / 1
LCM(9001,9009) = 81090009
Properties of LCM 9001 and 9009
(i) The LCM of 9009 and 9001 is associative
LCM of 9001 and 9009 = LCM of 9009 and 9001
Related Least Common Multiples of 9001
Related Least Common Multiples of 9009
Frequently Asked Questions on LCM of 9001 and 9009
1. What is the LCM of 9001 and 9009?
Answer: LCM of 9001 and 9009 is 81090009.
2. What are the Factors of 9001?
Answer: Factors of 9001 are 1, 9001. There are 2 integers that are factors of 9001. The greatest factor of 9001 is 9001.
3. What are the Factors of 9009?
Answer: Factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. There are 24 integers that are factors of 9009. The greatest factor of 9009 is 9009.
4. How to Find the LCM of 9001 and 9009?
Answer:
Least Common Multiple of 9001 and 9009 = 81090009
Step 1: Find the prime factorization of 9001
9001 = 9001
Step 2: Find the prime factorization of 9009
9009 = 3 x 3 x 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81090009 = 3 x 3 x 7 x 11 x 13 x 9001
Step 4: Therefore, the least common multiple of 9001 and 9009 is 81090009.