Least Common Multiple of 7500 and 7503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7500 and 7503 the smallest integer that is 18757500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7500 and 7503 is 18757500.

LCM(7500,7503) = 18757500

LCM of 7500 and 7503

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

LCM of:
and

Least Common Multiple of 7500 and 7503

LCM of 7500 and 7503 is 18757500

Least common multiple can be found by multiplying the highest exponent prime factors of 7500 and 7503. First we will calculate the prime factors of 7500 and 7503.

Prime Factorization of 7500


2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 7500 are 2, 3,5. Prime factorization of 7500 in exponential form is:

7500 = 22×31×54

Prime Factorization of 7503


3 7503
41 2501
61 61
1

Prime factors of 7503 are 3, 41,61. Prime factorization of 7503 in exponential form is:

7503 = 31×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7500 and 7503.

LCM(7500,7503) = 22×31×54×411×611
LCM(7500,7503) = 18757500

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500

Factors of 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1, 3, 41, 61, 123, 183, 2501, 7503

Least Common Multiple of 7500 and 7503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7500 and 7503, than apply into the LCM equation.

GCF(7500,7503) = 3
LCM(7500,7503) = ( 7500 × 7503) / 3
LCM(7500,7503) = 56272500 / 3
LCM(7500,7503) = 18757500

Properties of LCM 7500 and 7503

(i) The LCM of 7503 and 7500 is associative

LCM of 7500 and 7503 = LCM of 7503 and 7500

Related Least Common Multiples of 7500

Related Least Common Multiples of 7503

Frequently Asked Questions on LCM of 7500 and 7503

1. What is the LCM of 7500 and 7503?

Answer: LCM of 7500 and 7503 is 18757500.

2. What are the Factors of 7500?

Answer: Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. There are 30 integers that are factors of 7500. The greatest factor of 7500 is 7500.

3. What are the Factors of 7503?

Answer: Factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503. There are 8 integers that are factors of 7503. The greatest factor of 7503 is 7503.

4. How to Find the LCM of 7500 and 7503?

Answer:

Least Common Multiple of 7500 and 7503 = 18757500

Step 1: Find the prime factorization of 7500

7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 7503

7503 = 3 x 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 = 18757500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 41 x 61

Step 4: Therefore, the least common multiple of 7500 and 7503 is 18757500.