Least Common Multiple of 2509 and 2516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2509 and 2516 the smallest integer that is 6312644 that is divisible by both numbers.

Least Common Multiple (LCM) of 2509 and 2516 is 6312644.

LCM(2509,2516) = 6312644

LCM of 2509 and 2516

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

LCM of:
and

Least Common Multiple of 2509 and 2516

LCM of 2509 and 2516 is 6312644

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2516. First we will calculate the prime factors of 2509 and 2516.

Prime Factorization of 2509


13 2509
193 193
1

Prime factors of 2509 are 13,193. Prime factorization of 2509 in exponential form is:

2509 = 131×1931

Prime Factorization of 2516


2 2516
2 1258
17 629
37 37
1

Prime factors of 2516 are 2, 17,37. Prime factorization of 2516 in exponential form is:

2516 = 22×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2516.

LCM(2509,2516) = 22×131×171×371×1931
LCM(2509,2516) = 6312644

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1, 13, 193, 2509

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516

Least Common Multiple of 2509 and 2516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2509 and 2516, than apply into the LCM equation.

GCF(2509,2516) = 1
LCM(2509,2516) = ( 2509 × 2516) / 1
LCM(2509,2516) = 6312644 / 1
LCM(2509,2516) = 6312644

Properties of LCM 2509 and 2516

(i) The LCM of 2516 and 2509 is associative

LCM of 2509 and 2516 = LCM of 2516 and 2509

Related Least Common Multiples of 2509

Related Least Common Multiples of 2516

Frequently Asked Questions on LCM of 2509 and 2516

1. What is the LCM of 2509 and 2516?

Answer: LCM of 2509 and 2516 is 6312644.

2. What are the Factors of 2509?

Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.

3. What are the Factors of 2516?

Answer: Factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516. There are 12 integers that are factors of 2516. The greatest factor of 2516 is 2516.

4. How to Find the LCM of 2509 and 2516?

Answer:

Least Common Multiple of 2509 and 2516 = 6312644

Step 1: Find the prime factorization of 2509

2509 = 13 x 193

Step 2: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6312644 = 2 x 2 x 13 x 17 x 37 x 193

Step 4: Therefore, the least common multiple of 2509 and 2516 is 6312644.