Least Common Multiple of 7500 and 7502

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 7502 the smallest integer that is 28132500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7500 and 7502 is 28132500.

LCM(7500,7502) = 28132500

LCM of 7500 and 7502

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

LCM of:
and

Least Common Multiple of 7500 and 7502

LCM of 7500 and 7502 is 28132500

Least common multiple can be found by multiplying the highest exponent prime factors of 7500 and 7502. First we will calculate the prime factors of 7500 and 7502.

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 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2, 11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7500 and 7502.

LCM(7500,7502) = 22×31×54×112×311
LCM(7500,7502) = 28132500

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 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

Least Common Multiple of 7500 and 7502 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 7502, than apply into the LCM equation.

GCF(7500,7502) = 2
LCM(7500,7502) = ( 7500 × 7502) / 2
LCM(7500,7502) = 56265000 / 2
LCM(7500,7502) = 28132500

Properties of LCM 7500 and 7502

(i) The LCM of 7502 and 7500 is associative

LCM of 7500 and 7502 = LCM of 7502 and 7500

Related Least Common Multiples of 7500

Related Least Common Multiples of 7502

Frequently Asked Questions on LCM of 7500 and 7502

1. What is the LCM of 7500 and 7502?

Answer: LCM of 7500 and 7502 is 28132500.

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 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

4. How to Find the LCM of 7500 and 7502?

Answer:

Least Common Multiple of 7500 and 7502 = 28132500

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 7502

7502 = 2 x 11 x 11 x 31

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

LCM = 28132500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 7500 and 7502 is 28132500.