Least Common Multiple of 2508 and 2516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2508 and 2516 the smallest integer that is 1577532 that is divisible by both numbers.

Least Common Multiple (LCM) of 2508 and 2516 is 1577532.

LCM(2508,2516) = 1577532

LCM of 2508 and 2516

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

LCM of:
and

Least Common Multiple of 2508 and 2516

LCM of 2508 and 2516 is 1577532

Least common multiple can be found by multiplying the highest exponent prime factors of 2508 and 2516. First we will calculate the prime factors of 2508 and 2516.

Prime Factorization of 2508


2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:

2508 = 22×31×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2508 and 2516.

LCM(2508,2516) = 22×31×111×171×191×371
LCM(2508,2516) = 1577532

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

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

Least Common Multiple of 2508 and 2516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2508 and 2516, than apply into the LCM equation.

GCF(2508,2516) = 4
LCM(2508,2516) = ( 2508 × 2516) / 4
LCM(2508,2516) = 6310128 / 4
LCM(2508,2516) = 1577532

Properties of LCM 2508 and 2516

(i) The LCM of 2516 and 2508 is associative

LCM of 2508 and 2516 = LCM of 2516 and 2508

Related Least Common Multiples of 2508

Related Least Common Multiples of 2516

Frequently Asked Questions on LCM of 2508 and 2516

1. What is the LCM of 2508 and 2516?

Answer: LCM of 2508 and 2516 is 1577532.

2. What are the Factors of 2508?

Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.

3. 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.

4. How to Find the LCM of 2508 and 2516?

Answer:

Least Common Multiple of 2508 and 2516 = 1577532

Step 1: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

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

LCM = 1577532 = 2 x 2 x 3 x 11 x 17 x 19 x 37

Step 4: Therefore, the least common multiple of 2508 and 2516 is 1577532.