Least Common Multiple of 499 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 499 and 507 the smallest integer that is 252993 that is divisible by both numbers.
Least Common Multiple (LCM) of 499 and 507 is 252993.
LCM(499,507) = 252993
LCM of 499 and 507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 499 and 507 by Prime method
- Least Common Multiple of 499 and 507 with GCF Formula
LCM of 499 and 507 is 252993
Least common multiple can be found by multiplying the highest exponent prime factors of 499 and 507. First we will calculate the prime factors of 499 and 507.
Prime Factorization of 499
| 499 | 499 |
| 1 |
Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:
499 = 4991
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 499 and 507.
LCM(499,507) = 31×132×4991
LCM(499,507) = 252993
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1, 499
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 499 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 499 and 507, than apply into the LCM equation.
GCF(499,507) = 1
LCM(499,507) = ( 499 × 507) / 1
LCM(499,507) = 252993 / 1
LCM(499,507) = 252993
Properties of LCM 499 and 507
(i) The LCM of 507 and 499 is associative
LCM of 499 and 507 = LCM of 507 and 499
Related Least Common Multiples of 499
Related Least Common Multiples of 507
Frequently Asked Questions on LCM of 499 and 507
1. What is the LCM of 499 and 507?
Answer: LCM of 499 and 507 is 252993.
2. What are the Factors of 499?
Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.
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 499 and 507?
Answer:
Least Common Multiple of 499 and 507 = 252993
Step 1: Find the prime factorization of 499
499 = 499
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 = 252993 = 3 x 13 x 13 x 499
Step 4: Therefore, the least common multiple of 499 and 507 is 252993.