Least Common Multiple of 2011 and 2019
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 2019 the smallest integer that is 4060209 that is divisible by both numbers.
Least Common Multiple (LCM) of 2011 and 2019 is 4060209.
LCM(2011,2019) = 4060209
LCM of 2011 and 2019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2011 and 2019 by Prime method
- Least Common Multiple of 2011 and 2019 with GCF Formula
LCM of 2011 and 2019 is 4060209
Least common multiple can be found by multiplying the highest exponent prime factors of 2011 and 2019. First we will calculate the prime factors of 2011 and 2019.
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 2019
| 3 | 2019 |
| 673 | 673 |
| 1 |
Prime factors of 2019 are 3,673. Prime factorization of 2019 in exponential form is:
2019 = 31×6731
Now multiplying the highest exponent prime factors to calculate the LCM of 2011 and 2019.
LCM(2011,2019) = 31×6731×20111
LCM(2011,2019) = 4060209
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1, 2011
Factors of 2019
List of positive integer factors of 2019 that divides 2019 without a remainder.
1, 3, 673, 2019
Least Common Multiple of 2011 and 2019 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 2019, than apply into the LCM equation.
GCF(2011,2019) = 1
LCM(2011,2019) = ( 2011 × 2019) / 1
LCM(2011,2019) = 4060209 / 1
LCM(2011,2019) = 4060209
Properties of LCM 2011 and 2019
(i) The LCM of 2019 and 2011 is associative
LCM of 2011 and 2019 = LCM of 2019 and 2011
Related Least Common Multiples of 2011
Related Least Common Multiples of 2019
Frequently Asked Questions on LCM of 2011 and 2019
1. What is the LCM of 2011 and 2019?
Answer: LCM of 2011 and 2019 is 4060209.
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 2019?
Answer: Factors of 2019 are 1, 3, 673, 2019. There are 4 integers that are factors of 2019. The greatest factor of 2019 is 2019.
4. How to Find the LCM of 2011 and 2019?
Answer:
Least Common Multiple of 2011 and 2019 = 4060209
Step 1: Find the prime factorization of 2011
2011 = 2011
Step 2: Find the prime factorization of 2019
2019 = 3 x 673
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4060209 = 3 x 673 x 2011
Step 4: Therefore, the least common multiple of 2011 and 2019 is 4060209.