Least Common Multiple of 2516 and 2523

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 2523 the smallest integer that is 6347868 that is divisible by both numbers.

Least Common Multiple (LCM) of 2516 and 2523 is 6347868.

LCM(2516,2523) = 6347868

LCM of 2516 and 2523

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

LCM of:
and

Least Common Multiple of 2516 and 2523

LCM of 2516 and 2523 is 6347868

Least common multiple can be found by multiplying the highest exponent prime factors of 2516 and 2523. First we will calculate the prime factors of 2516 and 2523.

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 2523


3 2523
29 841
29 29
1

Prime factors of 2523 are 3,29. Prime factorization of 2523 in exponential form is:

2523 = 31×292

Now multiplying the highest exponent prime factors to calculate the LCM of 2516 and 2523.

LCM(2516,2523) = 22×31×171×292×371
LCM(2516,2523) = 6347868

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 2523

List of positive integer factors of 2523 that divides 2523 without a remainder.

1, 3, 29, 87, 841, 2523

Least Common Multiple of 2516 and 2523 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 2523, than apply into the LCM equation.

GCF(2516,2523) = 1
LCM(2516,2523) = ( 2516 × 2523) / 1
LCM(2516,2523) = 6347868 / 1
LCM(2516,2523) = 6347868

Properties of LCM 2516 and 2523

(i) The LCM of 2523 and 2516 is associative

LCM of 2516 and 2523 = LCM of 2523 and 2516

Related Least Common Multiples of 2516

Related Least Common Multiples of 2523

Frequently Asked Questions on LCM of 2516 and 2523

1. What is the LCM of 2516 and 2523?

Answer: LCM of 2516 and 2523 is 6347868.

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 2523?

Answer: Factors of 2523 are 1, 3, 29, 87, 841, 2523. There are 6 integers that are factors of 2523. The greatest factor of 2523 is 2523.

4. How to Find the LCM of 2516 and 2523?

Answer:

Least Common Multiple of 2516 and 2523 = 6347868

Step 1: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 2523

2523 = 3 x 29 x 29

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

LCM = 6347868 = 2 x 2 x 3 x 17 x 29 x 29 x 37

Step 4: Therefore, the least common multiple of 2516 and 2523 is 6347868.