Least Common Multiple of 507 and 511
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 511 the smallest integer that is 259077 that is divisible by both numbers.
Least Common Multiple (LCM) of 507 and 511 is 259077.
LCM(507,511) = 259077
LCM of 507 and 511
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 507 and 511 by Prime method
- Least Common Multiple of 507 and 511 with GCF Formula
LCM of 507 and 511 is 259077
Least common multiple can be found by multiplying the highest exponent prime factors of 507 and 511. First we will calculate the prime factors of 507 and 511.
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 511
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 511 are 7,73. Prime factorization of 511 in exponential form is:
511 = 71×731
Now multiplying the highest exponent prime factors to calculate the LCM of 507 and 511.
LCM(507,511) = 31×71×132×731
LCM(507,511) = 259077
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Least Common Multiple of 507 and 511 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 511, than apply into the LCM equation.
GCF(507,511) = 1
LCM(507,511) = ( 507 × 511) / 1
LCM(507,511) = 259077 / 1
LCM(507,511) = 259077
Properties of LCM 507 and 511
(i) The LCM of 511 and 507 is associative
LCM of 507 and 511 = LCM of 511 and 507
Related Least Common Multiples of 507
Related Least Common Multiples of 511
Frequently Asked Questions on LCM of 507 and 511
1. What is the LCM of 507 and 511?
Answer: LCM of 507 and 511 is 259077.
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 511?
Answer: Factors of 511 are 1, 7, 73, 511. There are 4 integers that are factors of 511. The greatest factor of 511 is 511.
4. How to Find the LCM of 507 and 511?
Answer:
Least Common Multiple of 507 and 511 = 259077
Step 1: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 2: Find the prime factorization of 511
511 = 7 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 259077 = 3 x 7 x 13 x 13 x 73
Step 4: Therefore, the least common multiple of 507 and 511 is 259077.
