Least Common Multiple of 2013 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 2013 and 2019 the smallest integer that is 1354749 that is divisible by both numbers.
Least Common Multiple (LCM) of 2013 and 2019 is 1354749.
LCM(2013,2019) = 1354749
LCM of 2013 and 2019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2013 and 2019 by Prime method
- Least Common Multiple of 2013 and 2019 with GCF Formula
LCM of 2013 and 2019 is 1354749
Least common multiple can be found by multiplying the highest exponent prime factors of 2013 and 2019. First we will calculate the prime factors of 2013 and 2019.
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
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 2013 and 2019.
LCM(2013,2019) = 31×111×611×6731
LCM(2013,2019) = 1354749
Factors of 2013
List of positive integer factors of 2013 that divides 2013 without a remainder.
1, 3, 11, 33, 61, 183, 671, 2013
Factors of 2019
List of positive integer factors of 2019 that divides 2019 without a remainder.
1, 3, 673, 2019
Least Common Multiple of 2013 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 2013 and 2019, than apply into the LCM equation.
GCF(2013,2019) = 3
LCM(2013,2019) = ( 2013 × 2019) / 3
LCM(2013,2019) = 4064247 / 3
LCM(2013,2019) = 1354749
Properties of LCM 2013 and 2019
(i) The LCM of 2019 and 2013 is associative
LCM of 2013 and 2019 = LCM of 2019 and 2013
Related Least Common Multiples of 2013
Related Least Common Multiples of 2019
Frequently Asked Questions on LCM of 2013 and 2019
1. What is the LCM of 2013 and 2019?
Answer: LCM of 2013 and 2019 is 1354749.
2. 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.
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 2013 and 2019?
Answer:
Least Common Multiple of 2013 and 2019 = 1354749
Step 1: Find the prime factorization of 2013
2013 = 3 x 11 x 61
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 = 1354749 = 3 x 11 x 61 x 673
Step 4: Therefore, the least common multiple of 2013 and 2019 is 1354749.