Least Common Multiple of 9523 and 9529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9523 and 9529 the smallest integer that is 90744667 that is divisible by both numbers.

Least Common Multiple (LCM) of 9523 and 9529 is 90744667.

LCM(9523,9529) = 90744667

LCM of 9523 and 9529

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

LCM of:
and

Least Common Multiple of 9523 and 9529

LCM of 9523 and 9529 is 90744667

Least common multiple can be found by multiplying the highest exponent prime factors of 9523 and 9529. First we will calculate the prime factors of 9523 and 9529.

Prime Factorization of 9523


89 9523
107 107
1

Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:

9523 = 891×1071

Prime Factorization of 9529


13 9529
733 733
1

Prime factors of 9529 are 13,733. Prime factorization of 9529 in exponential form is:

9529 = 131×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 9523 and 9529.

LCM(9523,9529) = 131×891×1071×7331
LCM(9523,9529) = 90744667

Factors of 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1, 89, 107, 9523

Factors of 9529

List of positive integer factors of 9529 that divides 9529 without a remainder.

1, 13, 733, 9529

Least Common Multiple of 9523 and 9529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9523 and 9529, than apply into the LCM equation.

GCF(9523,9529) = 1
LCM(9523,9529) = ( 9523 × 9529) / 1
LCM(9523,9529) = 90744667 / 1
LCM(9523,9529) = 90744667

Properties of LCM 9523 and 9529

(i) The LCM of 9529 and 9523 is associative

LCM of 9523 and 9529 = LCM of 9529 and 9523

Related Least Common Multiples of 9523

Related Least Common Multiples of 9529

Frequently Asked Questions on LCM of 9523 and 9529

1. What is the LCM of 9523 and 9529?

Answer: LCM of 9523 and 9529 is 90744667.

2. What are the Factors of 9523?

Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.

3. What are the Factors of 9529?

Answer: Factors of 9529 are 1, 13, 733, 9529. There are 4 integers that are factors of 9529. The greatest factor of 9529 is 9529.

4. How to Find the LCM of 9523 and 9529?

Answer:

Least Common Multiple of 9523 and 9529 = 90744667

Step 1: Find the prime factorization of 9523

9523 = 89 x 107

Step 2: Find the prime factorization of 9529

9529 = 13 x 733

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

LCM = 90744667 = 13 x 89 x 107 x 733

Step 4: Therefore, the least common multiple of 9523 and 9529 is 90744667.