Least Common Multiple of 9528 and 9534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9528 and 9534 the smallest integer that is 15139992 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9534 is 15139992.

LCM(9528,9534) = 15139992

LCM of 9528 and 9534

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

LCM of:
and

Least Common Multiple of 9528 and 9534

LCM of 9528 and 9534 is 15139992

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9534. First we will calculate the prime factors of 9528 and 9534.

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

Prime Factorization of 9534


2 9534
3 4767
7 1589
227 227
1

Prime factors of 9534 are 2, 3, 7,227. Prime factorization of 9534 in exponential form is:

9534 = 21×31×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9534.

LCM(9528,9534) = 23×31×71×2271×3971
LCM(9528,9534) = 15139992

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

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534

Least Common Multiple of 9528 and 9534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9528 and 9534, than apply into the LCM equation.

GCF(9528,9534) = 6
LCM(9528,9534) = ( 9528 × 9534) / 6
LCM(9528,9534) = 90839952 / 6
LCM(9528,9534) = 15139992

Properties of LCM 9528 and 9534

(i) The LCM of 9534 and 9528 is associative

LCM of 9528 and 9534 = LCM of 9534 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9534

Frequently Asked Questions on LCM of 9528 and 9534

1. What is the LCM of 9528 and 9534?

Answer: LCM of 9528 and 9534 is 15139992.

2. 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.

3. What are the Factors of 9534?

Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.

4. How to Find the LCM of 9528 and 9534?

Answer:

Least Common Multiple of 9528 and 9534 = 15139992

Step 1: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

Step 2: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

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

LCM = 15139992 = 2 x 2 x 2 x 3 x 7 x 227 x 397

Step 4: Therefore, the least common multiple of 9528 and 9534 is 15139992.