Least Common Multiple of 7511 and 7515
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 7515 the smallest integer that is 56445165 that is divisible by both numbers.
Least Common Multiple (LCM) of 7511 and 7515 is 56445165.
LCM(7511,7515) = 56445165
LCM of 7511 and 7515
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7511 and 7515 by Prime method
- Least Common Multiple of 7511 and 7515 with GCF Formula
LCM of 7511 and 7515 is 56445165
Least common multiple can be found by multiplying the highest exponent prime factors of 7511 and 7515. First we will calculate the prime factors of 7511 and 7515.
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 7515
| 3 | 7515 |
| 3 | 2505 |
| 5 | 835 |
| 167 | 167 |
| 1 |
Prime factors of 7515 are 3, 5,167. Prime factorization of 7515 in exponential form is:
7515 = 32×51×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 7511 and 7515.
LCM(7511,7515) = 32×51×71×291×371×1671
LCM(7511,7515) = 56445165
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 7515
List of positive integer factors of 7515 that divides 7515 without a remainder.
1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515
Least Common Multiple of 7511 and 7515 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 7515, than apply into the LCM equation.
GCF(7511,7515) = 1
LCM(7511,7515) = ( 7511 × 7515) / 1
LCM(7511,7515) = 56445165 / 1
LCM(7511,7515) = 56445165
Properties of LCM 7511 and 7515
(i) The LCM of 7515 and 7511 is associative
LCM of 7511 and 7515 = LCM of 7515 and 7511
Related Least Common Multiples of 7511
Related Least Common Multiples of 7515
Frequently Asked Questions on LCM of 7511 and 7515
1. What is the LCM of 7511 and 7515?
Answer: LCM of 7511 and 7515 is 56445165.
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 7515?
Answer: Factors of 7515 are 1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515. There are 12 integers that are factors of 7515. The greatest factor of 7515 is 7515.
4. How to Find the LCM of 7511 and 7515?
Answer:
Least Common Multiple of 7511 and 7515 = 56445165
Step 1: Find the prime factorization of 7511
7511 = 7 x 29 x 37
Step 2: Find the prime factorization of 7515
7515 = 3 x 3 x 5 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56445165 = 3 x 3 x 5 x 7 x 29 x 37 x 167
Step 4: Therefore, the least common multiple of 7511 and 7515 is 56445165.