Least Common Multiple of 9524 and 9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9524 and 9528 the smallest integer that is 22686168 that is divisible by both numbers.

Least Common Multiple (LCM) of 9524 and 9528 is 22686168.

LCM(9524,9528) = 22686168

LCM of 9524 and 9528

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

LCM of:
and

Least Common Multiple of 9524 and 9528

LCM of 9524 and 9528 is 22686168

Least common multiple can be found by multiplying the highest exponent prime factors of 9524 and 9528. First we will calculate the prime factors of 9524 and 9528.

Prime Factorization of 9524


2 9524
2 4762
2381 2381
1

Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:

9524 = 22×23811

Prime Factorization of 9528


2 9528
2 4764
2 2382
3 1191
397 397
1

Prime factors of 9528 are 2, 3,397. Prime factorization of 9528 in exponential form is:

9528 = 23×31×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 9524 and 9528.

LCM(9524,9528) = 23×31×3971×23811
LCM(9524,9528) = 22686168

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1, 2, 4, 2381, 4762, 9524

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528

Least Common Multiple of 9524 and 9528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9524 and 9528, than apply into the LCM equation.

GCF(9524,9528) = 4
LCM(9524,9528) = ( 9524 × 9528) / 4
LCM(9524,9528) = 90744672 / 4
LCM(9524,9528) = 22686168

Properties of LCM 9524 and 9528

(i) The LCM of 9528 and 9524 is associative

LCM of 9524 and 9528 = LCM of 9528 and 9524

Related Least Common Multiples of 9524

Related Least Common Multiples of 9528

Frequently Asked Questions on LCM of 9524 and 9528

1. What is the LCM of 9524 and 9528?

Answer: LCM of 9524 and 9528 is 22686168.

2. What are the Factors of 9524?

Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.

3. What are the Factors of 9528?

Answer: Factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528. There are 16 integers that are factors of 9528. The greatest factor of 9528 is 9528.

4. How to Find the LCM of 9524 and 9528?

Answer:

Least Common Multiple of 9524 and 9528 = 22686168

Step 1: Find the prime factorization of 9524

9524 = 2 x 2 x 2381

Step 2: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

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

LCM = 22686168 = 2 x 2 x 2 x 3 x 397 x 2381

Step 4: Therefore, the least common multiple of 9524 and 9528 is 22686168.