Least Common Multiple of 2513 and 2521

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 2521 the smallest integer that is 6335273 that is divisible by both numbers.

Least Common Multiple (LCM) of 2513 and 2521 is 6335273.

LCM(2513,2521) = 6335273

LCM of 2513 and 2521

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

LCM of:
and

Least Common Multiple of 2513 and 2521

LCM of 2513 and 2521 is 6335273

Least common multiple can be found by multiplying the highest exponent prime factors of 2513 and 2521. First we will calculate the prime factors of 2513 and 2521.

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 2521


2521 2521
1

Prime factors of 2521 are 2521. Prime factorization of 2521 in exponential form is:

2521 = 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 2513 and 2521.

LCM(2513,2521) = 71×3591×25211
LCM(2513,2521) = 6335273

Factors of 2513

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

1, 7, 359, 2513

Factors of 2521

List of positive integer factors of 2521 that divides 2521 without a remainder.

1, 2521

Least Common Multiple of 2513 and 2521 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 2521, than apply into the LCM equation.

GCF(2513,2521) = 1
LCM(2513,2521) = ( 2513 × 2521) / 1
LCM(2513,2521) = 6335273 / 1
LCM(2513,2521) = 6335273

Properties of LCM 2513 and 2521

(i) The LCM of 2521 and 2513 is associative

LCM of 2513 and 2521 = LCM of 2521 and 2513

Related Least Common Multiples of 2513

Related Least Common Multiples of 2521

Frequently Asked Questions on LCM of 2513 and 2521

1. What is the LCM of 2513 and 2521?

Answer: LCM of 2513 and 2521 is 6335273.

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 2521?

Answer: Factors of 2521 are 1, 2521. There are 2 integers that are factors of 2521. The greatest factor of 2521 is 2521.

4. How to Find the LCM of 2513 and 2521?

Answer:

Least Common Multiple of 2513 and 2521 = 6335273

Step 1: Find the prime factorization of 2513

2513 = 7 x 359

Step 2: Find the prime factorization of 2521

2521 = 2521

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

LCM = 6335273 = 7 x 359 x 2521

Step 4: Therefore, the least common multiple of 2513 and 2521 is 6335273.