Least Common Multiple of 2509 and 2517

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 2517 the smallest integer that is 6315153 that is divisible by both numbers.

Least Common Multiple (LCM) of 2509 and 2517 is 6315153.

LCM(2509,2517) = 6315153

LCM of 2509 and 2517

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

LCM of:
and

Least Common Multiple of 2509 and 2517

LCM of 2509 and 2517 is 6315153

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2517. First we will calculate the prime factors of 2509 and 2517.

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 2517


3 2517
839 839
1

Prime factors of 2517 are 3,839. Prime factorization of 2517 in exponential form is:

2517 = 31×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2517.

LCM(2509,2517) = 31×131×1931×8391
LCM(2509,2517) = 6315153

Factors of 2509

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

1, 13, 193, 2509

Factors of 2517

List of positive integer factors of 2517 that divides 2517 without a remainder.

1, 3, 839, 2517

Least Common Multiple of 2509 and 2517 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 2517, than apply into the LCM equation.

GCF(2509,2517) = 1
LCM(2509,2517) = ( 2509 × 2517) / 1
LCM(2509,2517) = 6315153 / 1
LCM(2509,2517) = 6315153

Properties of LCM 2509 and 2517

(i) The LCM of 2517 and 2509 is associative

LCM of 2509 and 2517 = LCM of 2517 and 2509

Frequently Asked Questions on LCM of 2509 and 2517

1. What is the LCM of 2509 and 2517?

Answer: LCM of 2509 and 2517 is 6315153.

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 2517?

Answer: Factors of 2517 are 1, 3, 839, 2517. There are 4 integers that are factors of 2517. The greatest factor of 2517 is 2517.

4. How to Find the LCM of 2509 and 2517?

Answer:

Least Common Multiple of 2509 and 2517 = 6315153

Step 1: Find the prime factorization of 2509

2509 = 13 x 193

Step 2: Find the prime factorization of 2517

2517 = 3 x 839

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

LCM = 6315153 = 3 x 13 x 193 x 839

Step 4: Therefore, the least common multiple of 2509 and 2517 is 6315153.