Least Common Multiple of 7500 and 7507

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 7507 the smallest integer that is 56302500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7500 and 7507 is 56302500.

LCM(7500,7507) = 56302500

LCM of 7500 and 7507

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

LCM of:
and

Least Common Multiple of 7500 and 7507

LCM of 7500 and 7507 is 56302500

Least common multiple can be found by multiplying the highest exponent prime factors of 7500 and 7507. First we will calculate the prime factors of 7500 and 7507.

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 7507


7507 7507
1

Prime factors of 7507 are 7507. Prime factorization of 7507 in exponential form is:

7507 = 75071

Now multiplying the highest exponent prime factors to calculate the LCM of 7500 and 7507.

LCM(7500,7507) = 22×31×54×75071
LCM(7500,7507) = 56302500

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 7507

List of positive integer factors of 7507 that divides 7507 without a remainder.

1, 7507

Least Common Multiple of 7500 and 7507 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 7507, than apply into the LCM equation.

GCF(7500,7507) = 1
LCM(7500,7507) = ( 7500 × 7507) / 1
LCM(7500,7507) = 56302500 / 1
LCM(7500,7507) = 56302500

Properties of LCM 7500 and 7507

(i) The LCM of 7507 and 7500 is associative

LCM of 7500 and 7507 = LCM of 7507 and 7500

Related Least Common Multiples of 7500

Related Least Common Multiples of 7507

Frequently Asked Questions on LCM of 7500 and 7507

1. What is the LCM of 7500 and 7507?

Answer: LCM of 7500 and 7507 is 56302500.

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 7507?

Answer: Factors of 7507 are 1, 7507. There are 2 integers that are factors of 7507. The greatest factor of 7507 is 7507.

4. How to Find the LCM of 7500 and 7507?

Answer:

Least Common Multiple of 7500 and 7507 = 56302500

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 7507

7507 = 7507

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

LCM = 56302500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7507

Step 4: Therefore, the least common multiple of 7500 and 7507 is 56302500.