Least Common Multiple of 9522 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 9522 and 9528 the smallest integer that is 15120936 that is divisible by both numbers.

Least Common Multiple (LCM) of 9522 and 9528 is 15120936.

LCM(9522,9528) = 15120936

LCM of 9522 and 9528

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

LCM of:
and

Least Common Multiple of 9522 and 9528

LCM of 9522 and 9528 is 15120936

Least common multiple can be found by multiplying the highest exponent prime factors of 9522 and 9528. First we will calculate the prime factors of 9522 and 9528.

Prime Factorization of 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2, 3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

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 9522 and 9528.

LCM(9522,9528) = 23×32×232×3971
LCM(9522,9528) = 15120936

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522

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 9522 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 9522 and 9528, than apply into the LCM equation.

GCF(9522,9528) = 6
LCM(9522,9528) = ( 9522 × 9528) / 6
LCM(9522,9528) = 90725616 / 6
LCM(9522,9528) = 15120936

Properties of LCM 9522 and 9528

(i) The LCM of 9528 and 9522 is associative

LCM of 9522 and 9528 = LCM of 9528 and 9522

Related Least Common Multiples of 9522

Related Least Common Multiples of 9528

Frequently Asked Questions on LCM of 9522 and 9528

1. What is the LCM of 9522 and 9528?

Answer: LCM of 9522 and 9528 is 15120936.

2. What are the Factors of 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

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 9522 and 9528?

Answer:

Least Common Multiple of 9522 and 9528 = 15120936

Step 1: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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 = 15120936 = 2 x 2 x 2 x 3 x 3 x 23 x 23 x 397

Step 4: Therefore, the least common multiple of 9522 and 9528 is 15120936.