Least Common Multiple of 7500 and 7501

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 7501 the smallest integer that is 56257500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7500 and 7501 is 56257500.

LCM(7500,7501) = 56257500

LCM of 7500 and 7501

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

LCM of:
and

Least Common Multiple of 7500 and 7501

LCM of 7500 and 7501 is 56257500

Least common multiple can be found by multiplying the highest exponent prime factors of 7500 and 7501. First we will calculate the prime factors of 7500 and 7501.

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 7501


13 7501
577 577
1

Prime factors of 7501 are 13,577. Prime factorization of 7501 in exponential form is:

7501 = 131×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 7500 and 7501.

LCM(7500,7501) = 22×31×54×131×5771
LCM(7500,7501) = 56257500

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 7501

List of positive integer factors of 7501 that divides 7501 without a remainder.

1, 13, 577, 7501

Least Common Multiple of 7500 and 7501 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 7501, than apply into the LCM equation.

GCF(7500,7501) = 1
LCM(7500,7501) = ( 7500 × 7501) / 1
LCM(7500,7501) = 56257500 / 1
LCM(7500,7501) = 56257500

Properties of LCM 7500 and 7501

(i) The LCM of 7501 and 7500 is associative

LCM of 7500 and 7501 = LCM of 7501 and 7500

Related Least Common Multiples of 7500

Related Least Common Multiples of 7501

Frequently Asked Questions on LCM of 7500 and 7501

1. What is the LCM of 7500 and 7501?

Answer: LCM of 7500 and 7501 is 56257500.

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 7501?

Answer: Factors of 7501 are 1, 13, 577, 7501. There are 4 integers that are factors of 7501. The greatest factor of 7501 is 7501.

4. How to Find the LCM of 7500 and 7501?

Answer:

Least Common Multiple of 7500 and 7501 = 56257500

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 7501

7501 = 13 x 577

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

LCM = 56257500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 13 x 577

Step 4: Therefore, the least common multiple of 7500 and 7501 is 56257500.