Least Common Multiple of 2011 and 2015
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 2015 the smallest integer that is 4052165 that is divisible by both numbers.
Least Common Multiple (LCM) of 2011 and 2015 is 4052165.
LCM(2011,2015) = 4052165
LCM of 2011 and 2015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2011 and 2015 by Prime method
- Least Common Multiple of 2011 and 2015 with GCF Formula
LCM of 2011 and 2015 is 4052165
Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2015. First we will calculate the prime factors of 2011 and 2015.
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 2015
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 2015 are 5, 13,31. Prime factorization of 2015 in exponential form is:
2015 = 51×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2011 and 2015.
LCM(2011,2015) = 51×131×311×20111
LCM(2011,2015) = 4052165
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1, 2011
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1, 5, 13, 31, 65, 155, 403, 2015
Least Common Multiple of 2011 and 2015 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 2015, than apply into the LCM equation.
GCF(2011,2015) = 1
LCM(2011,2015) = ( 2011 × 2015) / 1
LCM(2011,2015) = 4052165 / 1
LCM(2011,2015) = 4052165
Properties of LCM 2011 and 2015
(i) The LCM of 2015 and 2011 is associative
LCM of 2011 and 2015 = LCM of 2015 and 2011
Related Least Common Multiples of 2011
Related Least Common Multiples of 2015
Frequently Asked Questions on LCM of 2011 and 2015
1. What is the LCM of 2011 and 2015?
Answer: LCM of 2011 and 2015 is 4052165.
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 2015?
Answer: Factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. There are 8 integers that are factors of 2015. The greatest factor of 2015 is 2015.
4. How to Find the LCM of 2011 and 2015?
Answer:
Least Common Multiple of 2011 and 2015 = 4052165
Step 1: Find the prime factorization of 2011
2011 = 2011
Step 2: Find the prime factorization of 2015
2015 = 5 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4052165 = 5 x 13 x 31 x 2011
Step 4: Therefore, the least common multiple of 2011 and 2015 is 4052165.