Least Common Multiple of 2513 and 2518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2513 and 2518 the smallest integer that is 6327734 that is divisible by both numbers.

Least Common Multiple (LCM) of 2513 and 2518 is 6327734.

LCM(2513,2518) = 6327734

LCM of 2513 and 2518

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

LCM of:
and

Least Common Multiple of 2513 and 2518

LCM of 2513 and 2518 is 6327734

Least common multiple can be found by multiplying the highest exponent prime factors of 2513 and 2518. First we will calculate the prime factors of 2513 and 2518.

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

Prime Factorization of 2518


2 2518
1259 1259
1

Prime factors of 2518 are 2,1259. Prime factorization of 2518 in exponential form is:

2518 = 21×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 2513 and 2518.

LCM(2513,2518) = 21×71×3591×12591
LCM(2513,2518) = 6327734

Factors of 2513

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

1, 7, 359, 2513

Factors of 2518

List of positive integer factors of 2518 that divides 2518 without a remainder.

1, 2, 1259, 2518

Least Common Multiple of 2513 and 2518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2513 and 2518, than apply into the LCM equation.

GCF(2513,2518) = 1
LCM(2513,2518) = ( 2513 × 2518) / 1
LCM(2513,2518) = 6327734 / 1
LCM(2513,2518) = 6327734

Properties of LCM 2513 and 2518

(i) The LCM of 2518 and 2513 is associative

LCM of 2513 and 2518 = LCM of 2518 and 2513

Related Least Common Multiples of 2513

Related Least Common Multiples of 2518

Frequently Asked Questions on LCM of 2513 and 2518

1. What is the LCM of 2513 and 2518?

Answer: LCM of 2513 and 2518 is 6327734.

2. 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.

3. What are the Factors of 2518?

Answer: Factors of 2518 are 1, 2, 1259, 2518. There are 4 integers that are factors of 2518. The greatest factor of 2518 is 2518.

4. How to Find the LCM of 2513 and 2518?

Answer:

Least Common Multiple of 2513 and 2518 = 6327734

Step 1: Find the prime factorization of 2513

2513 = 7 x 359

Step 2: Find the prime factorization of 2518

2518 = 2 x 1259

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

LCM = 6327734 = 2 x 7 x 359 x 1259

Step 4: Therefore, the least common multiple of 2513 and 2518 is 6327734.