Least Common Multiple of 1513 and 1517
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1513 and 1517 the smallest integer that is 2295221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1513 and 1517 is 2295221.
LCM(1513,1517) = 2295221
LCM of 1513 and 1517
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1513 and 1517 by Prime method
- Least Common Multiple of 1513 and 1517 with GCF Formula
LCM of 1513 and 1517 is 2295221
Least common multiple can be found by multiplying the highest exponent prime factors of 1513 and 1517. First we will calculate the prime factors of 1513 and 1517.
Prime Factorization of 1513
| 17 | 1513 |
| 89 | 89 |
| 1 |
Prime factors of 1513 are 17,89. Prime factorization of 1513 in exponential form is:
1513 = 171×891
Prime Factorization of 1517
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 1517 are 37,41. Prime factorization of 1517 in exponential form is:
1517 = 371×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1513 and 1517.
LCM(1513,1517) = 171×371×411×891
LCM(1513,1517) = 2295221
Factors of 1513
List of positive integer factors of 1513 that divides 1513 without a remainder.
1, 17, 89, 1513
Factors of 1517
List of positive integer factors of 1517 that divides 1517 without a remainder.
1, 37, 41, 1517
Least Common Multiple of 1513 and 1517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1513 and 1517, than apply into the LCM equation.
GCF(1513,1517) = 1
LCM(1513,1517) = ( 1513 × 1517) / 1
LCM(1513,1517) = 2295221 / 1
LCM(1513,1517) = 2295221
Properties of LCM 1513 and 1517
(i) The LCM of 1517 and 1513 is associative
LCM of 1513 and 1517 = LCM of 1517 and 1513
Related Least Common Multiples of 1513
Related Least Common Multiples of 1517
Frequently Asked Questions on LCM of 1513 and 1517
1. What is the LCM of 1513 and 1517?
Answer: LCM of 1513 and 1517 is 2295221.
2. What are the Factors of 1513?
Answer: Factors of 1513 are 1, 17, 89, 1513. There are 4 integers that are factors of 1513. The greatest factor of 1513 is 1513.
3. What are the Factors of 1517?
Answer: Factors of 1517 are 1, 37, 41, 1517. There are 4 integers that are factors of 1517. The greatest factor of 1517 is 1517.
4. How to Find the LCM of 1513 and 1517?
Answer:
Least Common Multiple of 1513 and 1517 = 2295221
Step 1: Find the prime factorization of 1513
1513 = 17 x 89
Step 2: Find the prime factorization of 1517
1517 = 37 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2295221 = 17 x 37 x 41 x 89
Step 4: Therefore, the least common multiple of 1513 and 1517 is 2295221.
