Least Common Multiple of 9528 and 9536

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 9536 the smallest integer that is 11357376 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9536 is 11357376.

LCM(9528,9536) = 11357376

LCM of 9528 and 9536

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

LCM of:
and

Least Common Multiple of 9528 and 9536

LCM of 9528 and 9536 is 11357376

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9536. First we will calculate the prime factors of 9528 and 9536.

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 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9536.

LCM(9528,9536) = 26×31×1491×3971
LCM(9528,9536) = 11357376

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 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

Least Common Multiple of 9528 and 9536 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 9536, than apply into the LCM equation.

GCF(9528,9536) = 8
LCM(9528,9536) = ( 9528 × 9536) / 8
LCM(9528,9536) = 90859008 / 8
LCM(9528,9536) = 11357376

Properties of LCM 9528 and 9536

(i) The LCM of 9536 and 9528 is associative

LCM of 9528 and 9536 = LCM of 9536 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9536

Frequently Asked Questions on LCM of 9528 and 9536

1. What is the LCM of 9528 and 9536?

Answer: LCM of 9528 and 9536 is 11357376.

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 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

4. How to Find the LCM of 9528 and 9536?

Answer:

Least Common Multiple of 9528 and 9536 = 11357376

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 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 11357376 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 149 x 397

Step 4: Therefore, the least common multiple of 9528 and 9536 is 11357376.