Least Common Multiple of 2500 and 2501

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 2501 the smallest integer that is 6252500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2500 and 2501 is 6252500.

LCM(2500,2501) = 6252500

LCM of 2500 and 2501

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

LCM of:
and

Least Common Multiple of 2500 and 2501

LCM of 2500 and 2501 is 6252500

Least common multiple can be found by multiplying the highest exponent prime factors of 2500 and 2501. First we will calculate the prime factors of 2500 and 2501.

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 2501


41 2501
61 61
1

Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:

2501 = 411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2500 and 2501.

LCM(2500,2501) = 22×54×411×611
LCM(2500,2501) = 6252500

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 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1, 41, 61, 2501

Least Common Multiple of 2500 and 2501 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 2501, than apply into the LCM equation.

GCF(2500,2501) = 1
LCM(2500,2501) = ( 2500 × 2501) / 1
LCM(2500,2501) = 6252500 / 1
LCM(2500,2501) = 6252500

Properties of LCM 2500 and 2501

(i) The LCM of 2501 and 2500 is associative

LCM of 2500 and 2501 = LCM of 2501 and 2500

Related Least Common Multiples of 2500

Related Least Common Multiples of 2501

Frequently Asked Questions on LCM of 2500 and 2501

1. What is the LCM of 2500 and 2501?

Answer: LCM of 2500 and 2501 is 6252500.

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 2501?

Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.

4. How to Find the LCM of 2500 and 2501?

Answer:

Least Common Multiple of 2500 and 2501 = 6252500

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 2501

2501 = 41 x 61

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

LCM = 6252500 = 2 x 2 x 5 x 5 x 5 x 5 x 41 x 61

Step 4: Therefore, the least common multiple of 2500 and 2501 is 6252500.