Least Common Multiple of 2005 and 2011
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2005 and 2011 the smallest integer that is 4032055 that is divisible by both numbers.
Least Common Multiple (LCM) of 2005 and 2011 is 4032055.
LCM(2005,2011) = 4032055
LCM of 2005 and 2011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2005 and 2011 by Prime method
- Least Common Multiple of 2005 and 2011 with GCF Formula
LCM of 2005 and 2011 is 4032055
Least common multiple can be found by multiplying the highest exponent prime factors of 2005 and 2011. First we will calculate the prime factors of 2005 and 2011.
Prime Factorization of 2005
| 5 | 2005 |
| 401 | 401 |
| 1 |
Prime factors of 2005 are 5,401. Prime factorization of 2005 in exponential form is:
2005 = 51×4011
Prime Factorization of 2011
| 2011 | 2011 |
| 1 |
Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:
2011 = 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 2005 and 2011.
LCM(2005,2011) = 51×4011×20111
LCM(2005,2011) = 4032055
Factors of 2005
List of positive integer factors of 2005 that divides 2005 without a remainder.
1, 5, 401, 2005
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1, 2011
Least Common Multiple of 2005 and 2011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2005 and 2011, than apply into the LCM equation.
GCF(2005,2011) = 1
LCM(2005,2011) = ( 2005 × 2011) / 1
LCM(2005,2011) = 4032055 / 1
LCM(2005,2011) = 4032055
Properties of LCM 2005 and 2011
(i) The LCM of 2011 and 2005 is associative
LCM of 2005 and 2011 = LCM of 2011 and 2005
Related Least Common Multiples of 2005
Related Least Common Multiples of 2011
Frequently Asked Questions on LCM of 2005 and 2011
1. What is the LCM of 2005 and 2011?
Answer: LCM of 2005 and 2011 is 4032055.
2. What are the Factors of 2005?
Answer: Factors of 2005 are 1, 5, 401, 2005. There are 4 integers that are factors of 2005. The greatest factor of 2005 is 2005.
3. What are the Factors of 2011?
Answer: Factors of 2011 are 1, 2011. There are 2 integers that are factors of 2011. The greatest factor of 2011 is 2011.
4. How to Find the LCM of 2005 and 2011?
Answer:
Least Common Multiple of 2005 and 2011 = 4032055
Step 1: Find the prime factorization of 2005
2005 = 5 x 401
Step 2: Find the prime factorization of 2011
2011 = 2011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4032055 = 5 x 401 x 2011
Step 4: Therefore, the least common multiple of 2005 and 2011 is 4032055.