Least Common Multiple of 503 and 507
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 503 and 507 the smallest integer that is 255021 that is divisible by both numbers.
Least Common Multiple (LCM) of 503 and 507 is 255021.
LCM(503,507) = 255021
LCM of 503 and 507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 503 and 507 by Prime method
- Least Common Multiple of 503 and 507 with GCF Formula
LCM of 503 and 507 is 255021
Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 507. First we will calculate the prime factors of 503 and 507.
Prime Factorization of 503
| 503 | 503 |
| 1 |
Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:
503 = 5031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 507.
LCM(503,507) = 31×132×5031
LCM(503,507) = 255021
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1, 503
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Least Common Multiple of 503 and 507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 503 and 507, than apply into the LCM equation.
GCF(503,507) = 1
LCM(503,507) = ( 503 × 507) / 1
LCM(503,507) = 255021 / 1
LCM(503,507) = 255021
Properties of LCM 503 and 507
(i) The LCM of 507 and 503 is associative
LCM of 503 and 507 = LCM of 507 and 503
Related Least Common Multiples of 503
Related Least Common Multiples of 507
Frequently Asked Questions on LCM of 503 and 507
1. What is the LCM of 503 and 507?
Answer: LCM of 503 and 507 is 255021.
2. What are the Factors of 503?
Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.
3. 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.
4. How to Find the LCM of 503 and 507?
Answer:
Least Common Multiple of 503 and 507 = 255021
Step 1: Find the prime factorization of 503
503 = 503
Step 2: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 255021 = 3 x 13 x 13 x 503
Step 4: Therefore, the least common multiple of 503 and 507 is 255021.