Least Common Multiple of 2511 and 2518
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2511 and 2518 the smallest integer that is 6322698 that is divisible by both numbers.
Least Common Multiple (LCM) of 2511 and 2518 is 6322698.
LCM(2511,2518) = 6322698
LCM of 2511 and 2518
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2511 and 2518 by Prime method
- Least Common Multiple of 2511 and 2518 with GCF Formula
LCM of 2511 and 2518 is 6322698
Least common multiple can be found by multiplying the highest exponent prime factors of 2511 and 2518. First we will calculate the prime factors of 2511 and 2518.
Prime Factorization of 2511
| 3 | 2511 |
| 3 | 837 |
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:
2511 = 34×311
Prime Factorization of 2518
| 2 | 2518 |
| 1259 | 1259 |
| 1 |
Prime factors of 2518 are 2,1259. Prime factorization of 2518 in exponential form is:
2518 = 21×12591
Now multiplying the highest exponent prime factors to calculate the LCM of 2511 and 2518.
LCM(2511,2518) = 21×34×311×12591
LCM(2511,2518) = 6322698
Factors of 2511
List of positive integer factors of 2511 that divides 2511 without a remainder.
1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
Factors of 2518
List of positive integer factors of 2518 that divides 2518 without a remainder.
1, 2, 1259, 2518
Least Common Multiple of 2511 and 2518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2511 and 2518, than apply into the LCM equation.
GCF(2511,2518) = 1
LCM(2511,2518) = ( 2511 × 2518) / 1
LCM(2511,2518) = 6322698 / 1
LCM(2511,2518) = 6322698
Properties of LCM 2511 and 2518
(i) The LCM of 2518 and 2511 is associative
LCM of 2511 and 2518 = LCM of 2518 and 2511
Related Least Common Multiples of 2511
Related Least Common Multiples of 2518
Frequently Asked Questions on LCM of 2511 and 2518
1. What is the LCM of 2511 and 2518?
Answer: LCM of 2511 and 2518 is 6322698.
2. What are the Factors of 2511?
Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.
3. What are the Factors of 2518?
Answer: Factors of 2518 are 1, 2, 1259, 2518. There are 4 integers that are factors of 2518. The greatest factor of 2518 is 2518.
4. How to Find the LCM of 2511 and 2518?
Answer:
Least Common Multiple of 2511 and 2518 = 6322698
Step 1: Find the prime factorization of 2511
2511 = 3 x 3 x 3 x 3 x 31
Step 2: Find the prime factorization of 2518
2518 = 2 x 1259
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6322698 = 2 x 3 x 3 x 3 x 3 x 31 x 1259
Step 4: Therefore, the least common multiple of 2511 and 2518 is 6322698.