Least Common Multiple of 502 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 502 and 507 the smallest integer that is 254514 that is divisible by both numbers.
Least Common Multiple (LCM) of 502 and 507 is 254514.
LCM(502,507) = 254514
LCM of 502 and 507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 502 and 507 by Prime method
- Least Common Multiple of 502 and 507 with GCF Formula
LCM of 502 and 507 is 254514
Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 507. First we will calculate the prime factors of 502 and 507.
Prime Factorization of 502
| 2 | 502 |
| 251 | 251 |
| 1 |
Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:
502 = 21×2511
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 502 and 507.
LCM(502,507) = 21×31×132×2511
LCM(502,507) = 254514
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1, 2, 251, 502
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 502 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 502 and 507, than apply into the LCM equation.
GCF(502,507) = 1
LCM(502,507) = ( 502 × 507) / 1
LCM(502,507) = 254514 / 1
LCM(502,507) = 254514
Properties of LCM 502 and 507
(i) The LCM of 507 and 502 is associative
LCM of 502 and 507 = LCM of 507 and 502
Related Least Common Multiples of 502
Related Least Common Multiples of 507
Frequently Asked Questions on LCM of 502 and 507
1. What is the LCM of 502 and 507?
Answer: LCM of 502 and 507 is 254514.
2. What are the Factors of 502?
Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.
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 502 and 507?
Answer:
Least Common Multiple of 502 and 507 = 254514
Step 1: Find the prime factorization of 502
502 = 2 x 251
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 = 254514 = 2 x 3 x 13 x 13 x 251
Step 4: Therefore, the least common multiple of 502 and 507 is 254514.