Least Common Multiple of 7500 and 7505

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 7505 the smallest integer that is 11257500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7500 and 7505 is 11257500.

LCM(7500,7505) = 11257500

LCM of 7500 and 7505

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

LCM of:
and

Least Common Multiple of 7500 and 7505

LCM of 7500 and 7505 is 11257500

Least common multiple can be found by multiplying the highest exponent prime factors of 7500 and 7505. First we will calculate the prime factors of 7500 and 7505.

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 7505


5 7505
19 1501
79 79
1

Prime factors of 7505 are 5, 19,79. Prime factorization of 7505 in exponential form is:

7505 = 51×191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7500 and 7505.

LCM(7500,7505) = 22×31×54×191×791
LCM(7500,7505) = 11257500

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 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1, 5, 19, 79, 95, 395, 1501, 7505

Least Common Multiple of 7500 and 7505 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 7505, than apply into the LCM equation.

GCF(7500,7505) = 5
LCM(7500,7505) = ( 7500 × 7505) / 5
LCM(7500,7505) = 56287500 / 5
LCM(7500,7505) = 11257500

Properties of LCM 7500 and 7505

(i) The LCM of 7505 and 7500 is associative

LCM of 7500 and 7505 = LCM of 7505 and 7500

Related Least Common Multiples of 7500

Related Least Common Multiples of 7505

Frequently Asked Questions on LCM of 7500 and 7505

1. What is the LCM of 7500 and 7505?

Answer: LCM of 7500 and 7505 is 11257500.

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 7505?

Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.

4. How to Find the LCM of 7500 and 7505?

Answer:

Least Common Multiple of 7500 and 7505 = 11257500

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 7505

7505 = 5 x 19 x 79

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

LCM = 11257500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19 x 79

Step 4: Therefore, the least common multiple of 7500 and 7505 is 11257500.