Least Common Multiple of 7509 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 7509 and 7516 the smallest integer that is 56437644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7509 and 7516 is 56437644.

LCM(7509,7516) = 56437644

LCM of 7509 and 7516

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

LCM of:
and

Least Common Multiple of 7509 and 7516

LCM of 7509 and 7516 is 56437644

Least common multiple can be found by multiplying the highest exponent prime factors of 7509 and 7516. First we will calculate the prime factors of 7509 and 7516.

Prime Factorization of 7509


3 7509
2503 2503
1

Prime factors of 7509 are 3,2503. Prime factorization of 7509 in exponential form is:

7509 = 31×25031

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 7509 and 7516.

LCM(7509,7516) = 22×31×18791×25031
LCM(7509,7516) = 56437644

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1, 3, 2503, 7509

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 7509 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 7509 and 7516, than apply into the LCM equation.

GCF(7509,7516) = 1
LCM(7509,7516) = ( 7509 × 7516) / 1
LCM(7509,7516) = 56437644 / 1
LCM(7509,7516) = 56437644

Properties of LCM 7509 and 7516

(i) The LCM of 7516 and 7509 is associative

LCM of 7509 and 7516 = LCM of 7516 and 7509

Related Least Common Multiples of 7509

Related Least Common Multiples of 7516

Frequently Asked Questions on LCM of 7509 and 7516

1. What is the LCM of 7509 and 7516?

Answer: LCM of 7509 and 7516 is 56437644.

2. What are the Factors of 7509?

Answer: Factors of 7509 are 1, 3, 2503, 7509. There are 4 integers that are factors of 7509. The greatest factor of 7509 is 7509.

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 7509 and 7516?

Answer:

Least Common Multiple of 7509 and 7516 = 56437644

Step 1: Find the prime factorization of 7509

7509 = 3 x 2503

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 = 56437644 = 2 x 2 x 3 x 1879 x 2503

Step 4: Therefore, the least common multiple of 7509 and 7516 is 56437644.