Least Common Multiple of 7520 and 7525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7520 and 7525 the smallest integer that is 11317600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7520 and 7525 is 11317600.

LCM(7520,7525) = 11317600

LCM of 7520 and 7525

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

LCM of:
and

Least Common Multiple of 7520 and 7525

LCM of 7520 and 7525 is 11317600

Least common multiple can be found by multiplying the highest exponent prime factors of 7520 and 7525. First we will calculate the prime factors of 7520 and 7525.

Prime Factorization of 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2, 5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Prime Factorization of 7525


5 7525
5 1505
7 301
43 43
1

Prime factors of 7525 are 5, 7,43. Prime factorization of 7525 in exponential form is:

7525 = 52×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7520 and 7525.

LCM(7520,7525) = 25×52×71×431×471
LCM(7520,7525) = 11317600

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520

Factors of 7525

List of positive integer factors of 7525 that divides 7525 without a remainder.

1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525

Least Common Multiple of 7520 and 7525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7520 and 7525, than apply into the LCM equation.

GCF(7520,7525) = 5
LCM(7520,7525) = ( 7520 × 7525) / 5
LCM(7520,7525) = 56588000 / 5
LCM(7520,7525) = 11317600

Properties of LCM 7520 and 7525

(i) The LCM of 7525 and 7520 is associative

LCM of 7520 and 7525 = LCM of 7525 and 7520

Related Least Common Multiples of 7520

Related Least Common Multiples of 7525

Frequently Asked Questions on LCM of 7520 and 7525

1. What is the LCM of 7520 and 7525?

Answer: LCM of 7520 and 7525 is 11317600.

2. What are the Factors of 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

3. What are the Factors of 7525?

Answer: Factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525. There are 12 integers that are factors of 7525. The greatest factor of 7525 is 7525.

4. How to Find the LCM of 7520 and 7525?

Answer:

Least Common Multiple of 7520 and 7525 = 11317600

Step 1: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 7525

7525 = 5 x 5 x 7 x 43

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

LCM = 11317600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 43 x 47

Step 4: Therefore, the least common multiple of 7520 and 7525 is 11317600.