Least Common Multiple of 9526 and 9530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9526 and 9530 the smallest integer that is 45391390 that is divisible by both numbers.

Least Common Multiple (LCM) of 9526 and 9530 is 45391390.

LCM(9526,9530) = 45391390

LCM of 9526 and 9530

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

LCM of:
and

Least Common Multiple of 9526 and 9530

LCM of 9526 and 9530 is 45391390

Least common multiple can be found by multiplying the highest exponent prime factors of 9526 and 9530. First we will calculate the prime factors of 9526 and 9530.

Prime Factorization of 9526


2 9526
11 4763
433 433
1

Prime factors of 9526 are 2, 11,433. Prime factorization of 9526 in exponential form is:

9526 = 21×111×4331

Prime Factorization of 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 9526 and 9530.

LCM(9526,9530) = 21×51×111×4331×9531
LCM(9526,9530) = 45391390

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1, 2, 11, 22, 433, 866, 4763, 9526

Factors of 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1, 2, 5, 10, 953, 1906, 4765, 9530

Least Common Multiple of 9526 and 9530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9526 and 9530, than apply into the LCM equation.

GCF(9526,9530) = 2
LCM(9526,9530) = ( 9526 × 9530) / 2
LCM(9526,9530) = 90782780 / 2
LCM(9526,9530) = 45391390

Properties of LCM 9526 and 9530

(i) The LCM of 9530 and 9526 is associative

LCM of 9526 and 9530 = LCM of 9530 and 9526

Related Least Common Multiples of 9526

Related Least Common Multiples of 9530

Frequently Asked Questions on LCM of 9526 and 9530

1. What is the LCM of 9526 and 9530?

Answer: LCM of 9526 and 9530 is 45391390.

2. What are the Factors of 9526?

Answer: Factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526. There are 8 integers that are factors of 9526. The greatest factor of 9526 is 9526.

3. What are the Factors of 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

4. How to Find the LCM of 9526 and 9530?

Answer:

Least Common Multiple of 9526 and 9530 = 45391390

Step 1: Find the prime factorization of 9526

9526 = 2 x 11 x 433

Step 2: Find the prime factorization of 9530

9530 = 2 x 5 x 953

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

LCM = 45391390 = 2 x 5 x 11 x 433 x 953

Step 4: Therefore, the least common multiple of 9526 and 9530 is 45391390.