Least Common Multiple of 2513 and 2519
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2513 and 2519 the smallest integer that is 6330247 that is divisible by both numbers.
Least Common Multiple (LCM) of 2513 and 2519 is 6330247.
LCM(2513,2519) = 6330247
LCM of 2513 and 2519
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2513 and 2519 by Prime method
- Least Common Multiple of 2513 and 2519 with GCF Formula
LCM of 2513 and 2519 is 6330247
Least common multiple can be found by multiplying the highest exponent prime factors of 2513 and 2519. First we will calculate the prime factors of 2513 and 2519.
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
Prime Factorization of 2519
| 11 | 2519 |
| 229 | 229 |
| 1 |
Prime factors of 2519 are 11,229. Prime factorization of 2519 in exponential form is:
2519 = 111×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 2513 and 2519.
LCM(2513,2519) = 71×111×2291×3591
LCM(2513,2519) = 6330247
Factors of 2513
List of positive integer factors of 2513 that divides 2513 without a remainder.
1, 7, 359, 2513
Factors of 2519
List of positive integer factors of 2519 that divides 2519 without a remainder.
1, 11, 229, 2519
Least Common Multiple of 2513 and 2519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2513 and 2519, than apply into the LCM equation.
GCF(2513,2519) = 1
LCM(2513,2519) = ( 2513 × 2519) / 1
LCM(2513,2519) = 6330247 / 1
LCM(2513,2519) = 6330247
Properties of LCM 2513 and 2519
(i) The LCM of 2519 and 2513 is associative
LCM of 2513 and 2519 = LCM of 2519 and 2513
Related Least Common Multiples of 2513
Related Least Common Multiples of 2519
Frequently Asked Questions on LCM of 2513 and 2519
1. What is the LCM of 2513 and 2519?
Answer: LCM of 2513 and 2519 is 6330247.
2. 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.
3. What are the Factors of 2519?
Answer: Factors of 2519 are 1, 11, 229, 2519. There are 4 integers that are factors of 2519. The greatest factor of 2519 is 2519.
4. How to Find the LCM of 2513 and 2519?
Answer:
Least Common Multiple of 2513 and 2519 = 6330247
Step 1: Find the prime factorization of 2513
2513 = 7 x 359
Step 2: Find the prime factorization of 2519
2519 = 11 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6330247 = 7 x 11 x 229 x 359
Step 4: Therefore, the least common multiple of 2513 and 2519 is 6330247.