Least Common Multiple of 2500 and 2508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2500 and 2508 the smallest integer that is 1567500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2500 and 2508 is 1567500.

LCM(2500,2508) = 1567500

LCM of 2500 and 2508

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

LCM of:
and

Least Common Multiple of 2500 and 2508

LCM of 2500 and 2508 is 1567500

Least common multiple can be found by multiplying the highest exponent prime factors of 2500 and 2508. First we will calculate the prime factors of 2500 and 2508.

Prime Factorization of 2500


2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 2500 are 2,5. Prime factorization of 2500 in exponential form is:

2500 = 22×54

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2500 and 2508.

LCM(2500,2508) = 22×31×54×111×191
LCM(2500,2508) = 1567500

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

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

Least Common Multiple of 2500 and 2508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2500 and 2508, than apply into the LCM equation.

GCF(2500,2508) = 4
LCM(2500,2508) = ( 2500 × 2508) / 4
LCM(2500,2508) = 6270000 / 4
LCM(2500,2508) = 1567500

Properties of LCM 2500 and 2508

(i) The LCM of 2508 and 2500 is associative

LCM of 2500 and 2508 = LCM of 2508 and 2500

Related Least Common Multiples of 2500

Related Least Common Multiples of 2508

Frequently Asked Questions on LCM of 2500 and 2508

1. What is the LCM of 2500 and 2508?

Answer: LCM of 2500 and 2508 is 1567500.

2. What are the Factors of 2500?

Answer: Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. There are 15 integers that are factors of 2500. The greatest factor of 2500 is 2500.

3. 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.

4. How to Find the LCM of 2500 and 2508?

Answer:

Least Common Multiple of 2500 and 2508 = 1567500

Step 1: Find the prime factorization of 2500

2500 = 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

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

LCM = 1567500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 11 x 19

Step 4: Therefore, the least common multiple of 2500 and 2508 is 1567500.