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 7516 the smallest integer that is 56452676 that is divisible by both numbers.
Least Common Multiple (LCM) of 7511 and 7516 is 56452676.
LCM(7511,7516) = 56452676
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7511 and 7516. First we will calculate the prime factors of 7511 and 7516.
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 7516
2 | 7516 |
2 | 3758 |
1879 | 1879 |
1 |
Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:
7516 = 22×18791
Now multiplying the highest exponent prime factors to calculate the LCM of 7511 and 7516.
LCM(7511,7516) = 22×71×291×371×18791
LCM(7511,7516) = 56452676
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 7516
List of positive integer factors of 7516 that divides 7516 without a remainder.
1, 2, 4, 1879, 3758, 7516
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7511 and 7516, than apply into the LCM equation.
GCF(7511,7516) = 1
LCM(7511,7516) = ( 7511 × 7516) / 1
LCM(7511,7516) = 56452676 / 1
LCM(7511,7516) = 56452676
(i) The LCM of 7516 and 7511 is associative
LCM of 7511 and 7516 = LCM of 7516 and 7511
1. What is the LCM of 7511 and 7516?
Answer: LCM of 7511 and 7516 is 56452676.
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 7516?
Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.
4. How to Find the LCM of 7511 and 7516?
Answer:
Least Common Multiple of 7511 and 7516 = 56452676
Step 1: Find the prime factorization of 7511
7511 = 7 x 29 x 37
Step 2: Find the prime factorization of 7516
7516 = 2 x 2 x 1879
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56452676 = 2 x 2 x 7 x 29 x 37 x 1879
Step 4: Therefore, the least common multiple of 7511 and 7516 is 56452676.