Least Common Multiple of 7511 and 7516

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

LCM of 7511 and 7516

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7511 and 7516

LCM of 7511 and 7516 is 56452676

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

Least Common Multiple of 7511 and 7516 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 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

Properties of LCM 7511 and 7516

(i) The LCM of 7516 and 7511 is associative

LCM of 7511 and 7516 = LCM of 7516 and 7511

Related Least Common Multiples of 7511

Related Least Common Multiples of 7516

Frequently Asked Questions on LCM of 7511 and 7516

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.