Least Common Multiple of 7523 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 7523 and 7529 the smallest integer that is 56640667 that is divisible by both numbers.

Least Common Multiple (LCM) of 7523 and 7529 is 56640667.

LCM(7523,7529) = 56640667

LCM of 7523 and 7529

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

LCM of:
and

Least Common Multiple of 7523 and 7529

LCM of 7523 and 7529 is 56640667

Least common multiple can be found by multiplying the highest exponent prime factors of 7523 and 7529. First we will calculate the prime factors of 7523 and 7529.

Prime Factorization of 7523


7523 7523
1

Prime factors of 7523 are 7523. Prime factorization of 7523 in exponential form is:

7523 = 75231

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 7523 and 7529.

LCM(7523,7529) = 75231×75291
LCM(7523,7529) = 56640667

Factors of 7523

List of positive integer factors of 7523 that divides 7523 without a remainder.

1, 7523

Factors of 7529

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

1, 7529

Least Common Multiple of 7523 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 7523 and 7529, than apply into the LCM equation.

GCF(7523,7529) = 1
LCM(7523,7529) = ( 7523 × 7529) / 1
LCM(7523,7529) = 56640667 / 1
LCM(7523,7529) = 56640667

Properties of LCM 7523 and 7529

(i) The LCM of 7529 and 7523 is associative

LCM of 7523 and 7529 = LCM of 7529 and 7523

Related Least Common Multiples of 7523

Related Least Common Multiples of 7529

Frequently Asked Questions on LCM of 7523 and 7529

1. What is the LCM of 7523 and 7529?

Answer: LCM of 7523 and 7529 is 56640667.

2. What are the Factors of 7523?

Answer: Factors of 7523 are 1, 7523. There are 2 integers that are factors of 7523. The greatest factor of 7523 is 7523.

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 7523 and 7529?

Answer:

Least Common Multiple of 7523 and 7529 = 56640667

Step 1: Find the prime factorization of 7523

7523 = 7523

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 = 56640667 = 7523 x 7529

Step 4: Therefore, the least common multiple of 7523 and 7529 is 56640667.