Least Common Multiple of 2015 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 2015 and 2017 the smallest integer that is 4064255 that is divisible by both numbers.
Least Common Multiple (LCM) of 2015 and 2017 is 4064255.
LCM(2015,2017) = 4064255
LCM of 2015 and 2017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2015 and 2017 by Prime method
- Least Common Multiple of 2015 and 2017 with GCF Formula
LCM of 2015 and 2017 is 4064255
Least common multiple can be found by multiplying the highest exponent prime factors of 2015 and 2017. First we will calculate the prime factors of 2015 and 2017.
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
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 2015 and 2017.
LCM(2015,2017) = 51×131×311×20171
LCM(2015,2017) = 4064255
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1, 5, 13, 31, 65, 155, 403, 2015
Factors of 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1, 2017
Least Common Multiple of 2015 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 2015 and 2017, than apply into the LCM equation.
GCF(2015,2017) = 1
LCM(2015,2017) = ( 2015 × 2017) / 1
LCM(2015,2017) = 4064255 / 1
LCM(2015,2017) = 4064255
Properties of LCM 2015 and 2017
(i) The LCM of 2017 and 2015 is associative
LCM of 2015 and 2017 = LCM of 2017 and 2015
Related Least Common Multiples of 2015
Related Least Common Multiples of 2017
Frequently Asked Questions on LCM of 2015 and 2017
1. What is the LCM of 2015 and 2017?
Answer: LCM of 2015 and 2017 is 4064255.
2. 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.
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 2015 and 2017?
Answer:
Least Common Multiple of 2015 and 2017 = 4064255
Step 1: Find the prime factorization of 2015
2015 = 5 x 13 x 31
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 = 4064255 = 5 x 13 x 31 x 2017
Step 4: Therefore, the least common multiple of 2015 and 2017 is 4064255.