Least Common Multiple of 2509 and 2513

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 2513 the smallest integer that is 6305117 that is divisible by both numbers.

Least Common Multiple (LCM) of 2509 and 2513 is 6305117.

LCM(2509,2513) = 6305117

LCM of 2509 and 2513

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

LCM of:
and

Least Common Multiple of 2509 and 2513

LCM of 2509 and 2513 is 6305117

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2513. First we will calculate the prime factors of 2509 and 2513.

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 2513


7 2513
359 359
1

Prime factors of 2513 are 7,359. Prime factorization of 2513 in exponential form is:

2513 = 71×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2513.

LCM(2509,2513) = 71×131×1931×3591
LCM(2509,2513) = 6305117

Factors of 2509

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

1, 13, 193, 2509

Factors of 2513

List of positive integer factors of 2513 that divides 2513 without a remainder.

1, 7, 359, 2513

Least Common Multiple of 2509 and 2513 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 2513, than apply into the LCM equation.

GCF(2509,2513) = 1
LCM(2509,2513) = ( 2509 × 2513) / 1
LCM(2509,2513) = 6305117 / 1
LCM(2509,2513) = 6305117

Properties of LCM 2509 and 2513

(i) The LCM of 2513 and 2509 is associative

LCM of 2509 and 2513 = LCM of 2513 and 2509

Related Least Common Multiples of 2509

Related Least Common Multiples of 2513

Frequently Asked Questions on LCM of 2509 and 2513

1. What is the LCM of 2509 and 2513?

Answer: LCM of 2509 and 2513 is 6305117.

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 2513?

Answer: Factors of 2513 are 1, 7, 359, 2513. There are 4 integers that are factors of 2513. The greatest factor of 2513 is 2513.

4. How to Find the LCM of 2509 and 2513?

Answer:

Least Common Multiple of 2509 and 2513 = 6305117

Step 1: Find the prime factorization of 2509

2509 = 13 x 193

Step 2: Find the prime factorization of 2513

2513 = 7 x 359

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

LCM = 6305117 = 7 x 13 x 193 x 359

Step 4: Therefore, the least common multiple of 2509 and 2513 is 6305117.