Least Common Multiple of 2011 and 2013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2011 and 2013 the smallest integer that is 4048143 that is divisible by both numbers.
Least Common Multiple (LCM) of 2011 and 2013 is 4048143.
LCM(2011,2013) = 4048143
LCM of 2011 and 2013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2011 and 2013 by Prime method
- Least Common Multiple of 2011 and 2013 with GCF Formula
LCM of 2011 and 2013 is 4048143
Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2013. First we will calculate the prime factors of 2011 and 2013.
Prime Factorization of 2011
| 2011 | 2011 |
| 1 |
Prime factors of 2011 are 2011. Prime factorization of 2011 in exponential form is:
2011 = 20111
Prime Factorization of 2013
| 3 | 2013 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 2013 are 3, 11,61. Prime factorization of 2013 in exponential form is:
2013 = 31×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2011 and 2013.
LCM(2011,2013) = 31×111×611×20111
LCM(2011,2013) = 4048143
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1, 2011
Factors of 2013
List of positive integer factors of 2013 that divides 2013 without a remainder.
1, 3, 11, 33, 61, 183, 671, 2013
Least Common Multiple of 2011 and 2013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2011 and 2013, than apply into the LCM equation.
GCF(2011,2013) = 1
LCM(2011,2013) = ( 2011 × 2013) / 1
LCM(2011,2013) = 4048143 / 1
LCM(2011,2013) = 4048143
Properties of LCM 2011 and 2013
(i) The LCM of 2013 and 2011 is associative
LCM of 2011 and 2013 = LCM of 2013 and 2011
Related Least Common Multiples of 2011
Related Least Common Multiples of 2013
Frequently Asked Questions on LCM of 2011 and 2013
1. What is the LCM of 2011 and 2013?
Answer: LCM of 2011 and 2013 is 4048143.
2. 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.
3. What are the Factors of 2013?
Answer: Factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. There are 8 integers that are factors of 2013. The greatest factor of 2013 is 2013.
4. How to Find the LCM of 2011 and 2013?
Answer:
Least Common Multiple of 2011 and 2013 = 4048143
Step 1: Find the prime factorization of 2011
2011 = 2011
Step 2: Find the prime factorization of 2013
2013 = 3 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4048143 = 3 x 11 x 61 x 2011
Step 4: Therefore, the least common multiple of 2011 and 2013 is 4048143.