Least Common Multiple of 7525 and 7529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7525 and 7529 the smallest integer that is 56655725 that is divisible by both numbers.

Least Common Multiple (LCM) of 7525 and 7529 is 56655725.

LCM(7525,7529) = 56655725

LCM of 7525 and 7529

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

LCM of:
and

Least Common Multiple of 7525 and 7529

LCM of 7525 and 7529 is 56655725

Least common multiple can be found by multiplying the highest exponent prime factors of 7525 and 7529. First we will calculate the prime factors of 7525 and 7529.

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

Prime Factorization of 7529


7529 7529
1

Prime factors of 7529 are 7529. Prime factorization of 7529 in exponential form is:

7529 = 75291

Now multiplying the highest exponent prime factors to calculate the LCM of 7525 and 7529.

LCM(7525,7529) = 52×71×431×75291
LCM(7525,7529) = 56655725

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

Factors of 7529

List of positive integer factors of 7529 that divides 7529 without a remainder.

1, 7529

Least Common Multiple of 7525 and 7529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7525 and 7529, than apply into the LCM equation.

GCF(7525,7529) = 1
LCM(7525,7529) = ( 7525 × 7529) / 1
LCM(7525,7529) = 56655725 / 1
LCM(7525,7529) = 56655725

Properties of LCM 7525 and 7529

(i) The LCM of 7529 and 7525 is associative

LCM of 7525 and 7529 = LCM of 7529 and 7525

Related Least Common Multiples of 7525

Related Least Common Multiples of 7529

Frequently Asked Questions on LCM of 7525 and 7529

1. What is the LCM of 7525 and 7529?

Answer: LCM of 7525 and 7529 is 56655725.

2. 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.

3. What are the Factors of 7529?

Answer: Factors of 7529 are 1, 7529. There are 2 integers that are factors of 7529. The greatest factor of 7529 is 7529.

4. How to Find the LCM of 7525 and 7529?

Answer:

Least Common Multiple of 7525 and 7529 = 56655725

Step 1: Find the prime factorization of 7525

7525 = 5 x 5 x 7 x 43

Step 2: Find the prime factorization of 7529

7529 = 7529

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

LCM = 56655725 = 5 x 5 x 7 x 43 x 7529

Step 4: Therefore, the least common multiple of 7525 and 7529 is 56655725.