Least Common Multiple of 9568 and 9576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9568 and 9576 the smallest integer that is 11452896 that is divisible by both numbers.

Least Common Multiple (LCM) of 9568 and 9576 is 11452896.

LCM(9568,9576) = 11452896

LCM of 9568 and 9576

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

LCM of:
and

Least Common Multiple of 9568 and 9576

LCM of 9568 and 9576 is 11452896

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9576. First we will calculate the prime factors of 9568 and 9576.

Prime Factorization of 9568


2 9568
2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 9568 are 2, 13,23. Prime factorization of 9568 in exponential form is:

9568 = 25×131×231

Prime Factorization of 9576


2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 9576 are 2, 3, 7,19. Prime factorization of 9576 in exponential form is:

9576 = 23×32×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9576.

LCM(9568,9576) = 25×32×71×131×191×231
LCM(9568,9576) = 11452896

Factors of 9568

List of positive integer factors of 9568 that divides 9568 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576

Least Common Multiple of 9568 and 9576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9568 and 9576, than apply into the LCM equation.

GCF(9568,9576) = 8
LCM(9568,9576) = ( 9568 × 9576) / 8
LCM(9568,9576) = 91623168 / 8
LCM(9568,9576) = 11452896

Properties of LCM 9568 and 9576

(i) The LCM of 9576 and 9568 is associative

LCM of 9568 and 9576 = LCM of 9576 and 9568

Related Least Common Multiples of 9568

Related Least Common Multiples of 9576

Frequently Asked Questions on LCM of 9568 and 9576

1. What is the LCM of 9568 and 9576?

Answer: LCM of 9568 and 9576 is 11452896.

2. What are the Factors of 9568?

Answer: Factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568. There are 24 integers that are factors of 9568. The greatest factor of 9568 is 9568.

3. What are the Factors of 9576?

Answer: Factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576. There are 48 integers that are factors of 9576. The greatest factor of 9576 is 9576.

4. How to Find the LCM of 9568 and 9576?

Answer:

Least Common Multiple of 9568 and 9576 = 11452896

Step 1: Find the prime factorization of 9568

9568 = 2 x 2 x 2 x 2 x 2 x 13 x 23

Step 2: Find the prime factorization of 9576

9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19

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

LCM = 11452896 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 9568 and 9576 is 11452896.