Least Common Multiple of 2013 and 2017
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 2017 the smallest integer that is 4060221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2013 and 2017 is 4060221.
LCM(2013,2017) = 4060221
LCM of 2013 and 2017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2013 and 2017 by Prime method
- Least Common Multiple of 2013 and 2017 with GCF Formula
LCM of 2013 and 2017 is 4060221
Least common multiple can be found by multiplying the highest exponent prime factors of 2013 and 2017. First we will calculate the prime factors of 2013 and 2017.
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 2017
| 2017 | 2017 |
| 1 |
Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:
2017 = 20171
Now multiplying the highest exponent prime factors to calculate the LCM of 2013 and 2017.
LCM(2013,2017) = 31×111×611×20171
LCM(2013,2017) = 4060221
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 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1, 2017
Least Common Multiple of 2013 and 2017 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 2017, than apply into the LCM equation.
GCF(2013,2017) = 1
LCM(2013,2017) = ( 2013 × 2017) / 1
LCM(2013,2017) = 4060221 / 1
LCM(2013,2017) = 4060221
Properties of LCM 2013 and 2017
(i) The LCM of 2017 and 2013 is associative
LCM of 2013 and 2017 = LCM of 2017 and 2013
Related Least Common Multiples of 2013
Related Least Common Multiples of 2017
Frequently Asked Questions on LCM of 2013 and 2017
1. What is the LCM of 2013 and 2017?
Answer: LCM of 2013 and 2017 is 4060221.
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 2017?
Answer: Factors of 2017 are 1, 2017. There are 2 integers that are factors of 2017. The greatest factor of 2017 is 2017.
4. How to Find the LCM of 2013 and 2017?
Answer:
Least Common Multiple of 2013 and 2017 = 4060221
Step 1: Find the prime factorization of 2013
2013 = 3 x 11 x 61
Step 2: Find the prime factorization of 2017
2017 = 2017
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4060221 = 3 x 11 x 61 x 2017
Step 4: Therefore, the least common multiple of 2013 and 2017 is 4060221.