Least Common Multiple of 507 and 515
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 507 and 515 the smallest integer that is 261105 that is divisible by both numbers.
Least Common Multiple (LCM) of 507 and 515 is 261105.
LCM(507,515) = 261105
LCM of 507 and 515
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 507 and 515 by Prime method
- Least Common Multiple of 507 and 515 with GCF Formula
LCM of 507 and 515 is 261105
Least common multiple can be found by multiplying the highest exponent prime factors of 507 and 515. First we will calculate the prime factors of 507 and 515.
Prime Factorization of 507
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:
507 = 31×132
Prime Factorization of 515
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:
515 = 51×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 507 and 515.
LCM(507,515) = 31×51×132×1031
LCM(507,515) = 261105
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Least Common Multiple of 507 and 515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 507 and 515, than apply into the LCM equation.
GCF(507,515) = 1
LCM(507,515) = ( 507 × 515) / 1
LCM(507,515) = 261105 / 1
LCM(507,515) = 261105
Properties of LCM 507 and 515
(i) The LCM of 515 and 507 is associative
LCM of 507 and 515 = LCM of 515 and 507
Related Least Common Multiples of 507
Related Least Common Multiples of 515
Frequently Asked Questions on LCM of 507 and 515
1. What is the LCM of 507 and 515?
Answer: LCM of 507 and 515 is 261105.
2. What are the Factors of 507?
Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.
3. What are the Factors of 515?
Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.
4. How to Find the LCM of 507 and 515?
Answer:
Least Common Multiple of 507 and 515 = 261105
Step 1: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 2: Find the prime factorization of 515
515 = 5 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 261105 = 3 x 5 x 13 x 13 x 103
Step 4: Therefore, the least common multiple of 507 and 515 is 261105.
