Least Common Multiple of 2516 and 2524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2516 and 2524 the smallest integer that is 1587596 that is divisible by both numbers.

Least Common Multiple (LCM) of 2516 and 2524 is 1587596.

LCM(2516,2524) = 1587596

LCM of 2516 and 2524

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

LCM of:
and

Least Common Multiple of 2516 and 2524

LCM of 2516 and 2524 is 1587596

Least common multiple can be found by multiplying the highest exponent prime factors of 2516 and 2524. First we will calculate the prime factors of 2516 and 2524.

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

Prime Factorization of 2524


2 2524
2 1262
631 631
1

Prime factors of 2524 are 2,631. Prime factorization of 2524 in exponential form is:

2524 = 22×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 2516 and 2524.

LCM(2516,2524) = 22×171×371×6311
LCM(2516,2524) = 1587596

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

Factors of 2524

List of positive integer factors of 2524 that divides 2524 without a remainder.

1, 2, 4, 631, 1262, 2524

Least Common Multiple of 2516 and 2524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2516 and 2524, than apply into the LCM equation.

GCF(2516,2524) = 4
LCM(2516,2524) = ( 2516 × 2524) / 4
LCM(2516,2524) = 6350384 / 4
LCM(2516,2524) = 1587596

Properties of LCM 2516 and 2524

(i) The LCM of 2524 and 2516 is associative

LCM of 2516 and 2524 = LCM of 2524 and 2516

Related Least Common Multiples of 2516

Related Least Common Multiples of 2524

Frequently Asked Questions on LCM of 2516 and 2524

1. What is the LCM of 2516 and 2524?

Answer: LCM of 2516 and 2524 is 1587596.

2. 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.

3. What are the Factors of 2524?

Answer: Factors of 2524 are 1, 2, 4, 631, 1262, 2524. There are 6 integers that are factors of 2524. The greatest factor of 2524 is 2524.

4. How to Find the LCM of 2516 and 2524?

Answer:

Least Common Multiple of 2516 and 2524 = 1587596

Step 1: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 2524

2524 = 2 x 2 x 631

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

LCM = 1587596 = 2 x 2 x 17 x 37 x 631

Step 4: Therefore, the least common multiple of 2516 and 2524 is 1587596.