Least Common Multiple of 9528 and 9533

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 9533 the smallest integer that is 90830424 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9533 is 90830424.

LCM(9528,9533) = 90830424

LCM of 9528 and 9533

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

LCM of:
and

Least Common Multiple of 9528 and 9533

LCM of 9528 and 9533 is 90830424

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9533. First we will calculate the prime factors of 9528 and 9533.

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 9533


9533 9533
1

Prime factors of 9533 are 9533. Prime factorization of 9533 in exponential form is:

9533 = 95331

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9533.

LCM(9528,9533) = 23×31×3971×95331
LCM(9528,9533) = 90830424

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 9533

List of positive integer factors of 9533 that divides 9533 without a remainder.

1, 9533

Least Common Multiple of 9528 and 9533 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 9533, than apply into the LCM equation.

GCF(9528,9533) = 1
LCM(9528,9533) = ( 9528 × 9533) / 1
LCM(9528,9533) = 90830424 / 1
LCM(9528,9533) = 90830424

Properties of LCM 9528 and 9533

(i) The LCM of 9533 and 9528 is associative

LCM of 9528 and 9533 = LCM of 9533 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9533

Frequently Asked Questions on LCM of 9528 and 9533

1. What is the LCM of 9528 and 9533?

Answer: LCM of 9528 and 9533 is 90830424.

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 9533?

Answer: Factors of 9533 are 1, 9533. There are 2 integers that are factors of 9533. The greatest factor of 9533 is 9533.

4. How to Find the LCM of 9528 and 9533?

Answer:

Least Common Multiple of 9528 and 9533 = 90830424

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 9533

9533 = 9533

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

LCM = 90830424 = 2 x 2 x 2 x 3 x 397 x 9533

Step 4: Therefore, the least common multiple of 9528 and 9533 is 90830424.