Least Common Multiple of 7511 and 7518
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7511 and 7518 the smallest integer that is 8066814 that is divisible by both numbers.
Least Common Multiple (LCM) of 7511 and 7518 is 8066814.
LCM(7511,7518) = 8066814
LCM of 7511 and 7518
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7511 and 7518 by Prime method
- Least Common Multiple of 7511 and 7518 with GCF Formula
LCM of 7511 and 7518 is 8066814
Least common multiple can be found by multiplying the highest exponent prime factors of 7511 and 7518. First we will calculate the prime factors of 7511 and 7518.
Prime Factorization of 7511
| 7 | 7511 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 7511 are 7, 29,37. Prime factorization of 7511 in exponential form is:
7511 = 71×291×371
Prime Factorization of 7518
| 2 | 7518 |
| 3 | 3759 |
| 7 | 1253 |
| 179 | 179 |
| 1 |
Prime factors of 7518 are 2, 3, 7,179. Prime factorization of 7518 in exponential form is:
7518 = 21×31×71×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 7511 and 7518.
LCM(7511,7518) = 21×31×71×291×371×1791
LCM(7511,7518) = 8066814
Factors of 7511
List of positive integer factors of 7511 that divides 7511 without a remainder.
1, 7, 29, 37, 203, 259, 1073, 7511
Factors of 7518
List of positive integer factors of 7518 that divides 7518 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518
Least Common Multiple of 7511 and 7518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7511 and 7518, than apply into the LCM equation.
GCF(7511,7518) = 7
LCM(7511,7518) = ( 7511 × 7518) / 7
LCM(7511,7518) = 56467698 / 7
LCM(7511,7518) = 8066814
Properties of LCM 7511 and 7518
(i) The LCM of 7518 and 7511 is associative
LCM of 7511 and 7518 = LCM of 7518 and 7511
Related Least Common Multiples of 7511
Related Least Common Multiples of 7518
Frequently Asked Questions on LCM of 7511 and 7518
1. What is the LCM of 7511 and 7518?
Answer: LCM of 7511 and 7518 is 8066814.
2. What are the Factors of 7511?
Answer: Factors of 7511 are 1, 7, 29, 37, 203, 259, 1073, 7511. There are 8 integers that are factors of 7511. The greatest factor of 7511 is 7511.
3. What are the Factors of 7518?
Answer: Factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518. There are 16 integers that are factors of 7518. The greatest factor of 7518 is 7518.
4. How to Find the LCM of 7511 and 7518?
Answer:
Least Common Multiple of 7511 and 7518 = 8066814
Step 1: Find the prime factorization of 7511
7511 = 7 x 29 x 37
Step 2: Find the prime factorization of 7518
7518 = 2 x 3 x 7 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8066814 = 2 x 3 x 7 x 29 x 37 x 179
Step 4: Therefore, the least common multiple of 7511 and 7518 is 8066814.