Least Common Multiple of 2508 and 2513
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2508 and 2513 the smallest integer that is 6302604 that is divisible by both numbers.
Least Common Multiple (LCM) of 2508 and 2513 is 6302604.
LCM(2508,2513) = 6302604
LCM of 2508 and 2513
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2508 and 2513 by Prime method
- Least Common Multiple of 2508 and 2513 with GCF Formula
LCM of 2508 and 2513 is 6302604
Least common multiple can be found by multiplying the highest exponent prime factors of 2508 and 2513. First we will calculate the prime factors of 2508 and 2513.
Prime Factorization of 2508
| 2 | 2508 |
| 2 | 1254 |
| 3 | 627 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:
2508 = 22×31×111×191
Prime Factorization of 2513
| 7 | 2513 |
| 359 | 359 |
| 1 |
Prime factors of 2513 are 7,359. Prime factorization of 2513 in exponential form is:
2513 = 71×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 2508 and 2513.
LCM(2508,2513) = 22×31×71×111×191×3591
LCM(2508,2513) = 6302604
Factors of 2508
List of positive integer factors of 2508 that divides 2508 without a remainder.
1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508
Factors of 2513
List of positive integer factors of 2513 that divides 2513 without a remainder.
1, 7, 359, 2513
Least Common Multiple of 2508 and 2513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2508 and 2513, than apply into the LCM equation.
GCF(2508,2513) = 1
LCM(2508,2513) = ( 2508 × 2513) / 1
LCM(2508,2513) = 6302604 / 1
LCM(2508,2513) = 6302604
Properties of LCM 2508 and 2513
(i) The LCM of 2513 and 2508 is associative
LCM of 2508 and 2513 = LCM of 2513 and 2508
Related Least Common Multiples of 2508
Related Least Common Multiples of 2513
Frequently Asked Questions on LCM of 2508 and 2513
1. What is the LCM of 2508 and 2513?
Answer: LCM of 2508 and 2513 is 6302604.
2. What are the Factors of 2508?
Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.
3. What are the Factors of 2513?
Answer: Factors of 2513 are 1, 7, 359, 2513. There are 4 integers that are factors of 2513. The greatest factor of 2513 is 2513.
4. How to Find the LCM of 2508 and 2513?
Answer:
Least Common Multiple of 2508 and 2513 = 6302604
Step 1: Find the prime factorization of 2508
2508 = 2 x 2 x 3 x 11 x 19
Step 2: Find the prime factorization of 2513
2513 = 7 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6302604 = 2 x 2 x 3 x 7 x 11 x 19 x 359
Step 4: Therefore, the least common multiple of 2508 and 2513 is 6302604.