Least Common Multiple of 2500 and 2502

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 2502 the smallest integer that is 3127500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2500 and 2502 is 3127500.

LCM(2500,2502) = 3127500

LCM of 2500 and 2502

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

LCM of:
and

Least Common Multiple of 2500 and 2502

LCM of 2500 and 2502 is 3127500

Least common multiple can be found by multiplying the highest exponent prime factors of 2500 and 2502. First we will calculate the prime factors of 2500 and 2502.

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 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2, 3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2500 and 2502.

LCM(2500,2502) = 22×32×54×1391
LCM(2500,2502) = 3127500

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 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502

Least Common Multiple of 2500 and 2502 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 2502, than apply into the LCM equation.

GCF(2500,2502) = 2
LCM(2500,2502) = ( 2500 × 2502) / 2
LCM(2500,2502) = 6255000 / 2
LCM(2500,2502) = 3127500

Properties of LCM 2500 and 2502

(i) The LCM of 2502 and 2500 is associative

LCM of 2500 and 2502 = LCM of 2502 and 2500

Related Least Common Multiples of 2500

Related Least Common Multiples of 2502

Frequently Asked Questions on LCM of 2500 and 2502

1. What is the LCM of 2500 and 2502?

Answer: LCM of 2500 and 2502 is 3127500.

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 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

4. How to Find the LCM of 2500 and 2502?

Answer:

Least Common Multiple of 2500 and 2502 = 3127500

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 2502

2502 = 2 x 3 x 3 x 139

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

LCM = 3127500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 139

Step 4: Therefore, the least common multiple of 2500 and 2502 is 3127500.