Least Common Multiple of 2010 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 2010 and 2011 the smallest integer that is 4042110 that is divisible by both numbers.
Least Common Multiple (LCM) of 2010 and 2011 is 4042110.
LCM(2010,2011) = 4042110
LCM of 2010 and 2011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2010 and 2011 by Prime method
- Least Common Multiple of 2010 and 2011 with GCF Formula
LCM of 2010 and 2011 is 4042110
Least common multiple can be found by multiplying the highest exponent prime factors of 2010 and 2011. First we will calculate the prime factors of 2010 and 2011.
Prime Factorization of 2010
| 2 | 2010 |
| 3 | 1005 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 2010 are 2, 3, 5,67. Prime factorization of 2010 in exponential form is:
2010 = 21×31×51×671
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 2010 and 2011.
LCM(2010,2011) = 21×31×51×671×20111
LCM(2010,2011) = 4042110
Factors of 2010
List of positive integer factors of 2010 that divides 2010 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1, 2011
Least Common Multiple of 2010 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 2010 and 2011, than apply into the LCM equation.
GCF(2010,2011) = 1
LCM(2010,2011) = ( 2010 × 2011) / 1
LCM(2010,2011) = 4042110 / 1
LCM(2010,2011) = 4042110
Properties of LCM 2010 and 2011
(i) The LCM of 2011 and 2010 is associative
LCM of 2010 and 2011 = LCM of 2011 and 2010
Related Least Common Multiples of 2010
Related Least Common Multiples of 2011
Frequently Asked Questions on LCM of 2010 and 2011
1. What is the LCM of 2010 and 2011?
Answer: LCM of 2010 and 2011 is 4042110.
2. What are the Factors of 2010?
Answer: Factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010. There are 16 integers that are factors of 2010. The greatest factor of 2010 is 2010.
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 2010 and 2011?
Answer:
Least Common Multiple of 2010 and 2011 = 4042110
Step 1: Find the prime factorization of 2010
2010 = 2 x 3 x 5 x 67
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 = 4042110 = 2 x 3 x 5 x 67 x 2011
Step 4: Therefore, the least common multiple of 2010 and 2011 is 4042110.