Least Common Multiple of 2500 and 2507

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 2507 the smallest integer that is 6267500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2500 and 2507 is 6267500.

LCM(2500,2507) = 6267500

LCM of 2500 and 2507

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

LCM of:
and

Least Common Multiple of 2500 and 2507

LCM of 2500 and 2507 is 6267500

Least common multiple can be found by multiplying the highest exponent prime factors of 2500 and 2507. First we will calculate the prime factors of 2500 and 2507.

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 2507


23 2507
109 109
1

Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:

2507 = 231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2500 and 2507.

LCM(2500,2507) = 22×54×231×1091
LCM(2500,2507) = 6267500

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 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1, 23, 109, 2507

Least Common Multiple of 2500 and 2507 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 2507, than apply into the LCM equation.

GCF(2500,2507) = 1
LCM(2500,2507) = ( 2500 × 2507) / 1
LCM(2500,2507) = 6267500 / 1
LCM(2500,2507) = 6267500

Properties of LCM 2500 and 2507

(i) The LCM of 2507 and 2500 is associative

LCM of 2500 and 2507 = LCM of 2507 and 2500

Related Least Common Multiples of 2500

Related Least Common Multiples of 2507

Frequently Asked Questions on LCM of 2500 and 2507

1. What is the LCM of 2500 and 2507?

Answer: LCM of 2500 and 2507 is 6267500.

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 2507?

Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.

4. How to Find the LCM of 2500 and 2507?

Answer:

Least Common Multiple of 2500 and 2507 = 6267500

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 2507

2507 = 23 x 109

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

LCM = 6267500 = 2 x 2 x 5 x 5 x 5 x 5 x 23 x 109

Step 4: Therefore, the least common multiple of 2500 and 2507 is 6267500.