Least Common Multiple of 1005 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 1005 and 1009 the smallest integer that is 1014045 that is divisible by both numbers.
Least Common Multiple (LCM) of 1005 and 1009 is 1014045.
LCM(1005,1009) = 1014045
LCM of 1005 and 1009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1005 and 1009 by Prime method
- Least Common Multiple of 1005 and 1009 with GCF Formula
LCM of 1005 and 1009 is 1014045
Least common multiple can be found by multiplying the highest exponent prime factors of 1005 and 1009. First we will calculate the prime factors of 1005 and 1009.
Prime Factorization of 1005
| 3 | 1005 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 1005 are 3, 5,67. Prime factorization of 1005 in exponential form is:
1005 = 31×51×671
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 1005 and 1009.
LCM(1005,1009) = 31×51×671×10091
LCM(1005,1009) = 1014045
Factors of 1005
List of positive integer factors of 1005 that divides 1005 without a remainder.
1, 3, 5, 15, 67, 201, 335, 1005
Factors of 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1, 1009
Least Common Multiple of 1005 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 1005 and 1009, than apply into the LCM equation.
GCF(1005,1009) = 1
LCM(1005,1009) = ( 1005 × 1009) / 1
LCM(1005,1009) = 1014045 / 1
LCM(1005,1009) = 1014045
Properties of LCM 1005 and 1009
(i) The LCM of 1009 and 1005 is associative
LCM of 1005 and 1009 = LCM of 1009 and 1005
Related Least Common Multiples of 1005
Related Least Common Multiples of 1009
Frequently Asked Questions on LCM of 1005 and 1009
1. What is the LCM of 1005 and 1009?
Answer: LCM of 1005 and 1009 is 1014045.
2. What are the Factors of 1005?
Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.
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 1005 and 1009?
Answer:
Least Common Multiple of 1005 and 1009 = 1014045
Step 1: Find the prime factorization of 1005
1005 = 3 x 5 x 67
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 = 1014045 = 3 x 5 x 67 x 1009
Step 4: Therefore, the least common multiple of 1005 and 1009 is 1014045.