Least Common Multiple of 507 and 509
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 509 the smallest integer that is 258063 that is divisible by both numbers.
Least Common Multiple (LCM) of 507 and 509 is 258063.
LCM(507,509) = 258063
LCM of 507 and 509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 507 and 509 by Prime method
- Least Common Multiple of 507 and 509 with GCF Formula
LCM of 507 and 509 is 258063
Least common multiple can be found by multiplying the highest exponent prime factors of 507 and 509. First we will calculate the prime factors of 507 and 509.
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 509
| 509 | 509 |
| 1 |
Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:
509 = 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 507 and 509.
LCM(507,509) = 31×132×5091
LCM(507,509) = 258063
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1, 509
Least Common Multiple of 507 and 509 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 509, than apply into the LCM equation.
GCF(507,509) = 1
LCM(507,509) = ( 507 × 509) / 1
LCM(507,509) = 258063 / 1
LCM(507,509) = 258063
Properties of LCM 507 and 509
(i) The LCM of 509 and 507 is associative
LCM of 507 and 509 = LCM of 509 and 507
Related Least Common Multiples of 507
Related Least Common Multiples of 509
Frequently Asked Questions on LCM of 507 and 509
1. What is the LCM of 507 and 509?
Answer: LCM of 507 and 509 is 258063.
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 509?
Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.
4. How to Find the LCM of 507 and 509?
Answer:
Least Common Multiple of 507 and 509 = 258063
Step 1: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 2: Find the prime factorization of 509
509 = 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 258063 = 3 x 13 x 13 x 509
Step 4: Therefore, the least common multiple of 507 and 509 is 258063.
