Least Common Multiple of 9576 and 9581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9576 and 9581 the smallest integer that is 91747656 that is divisible by both numbers.

Least Common Multiple (LCM) of 9576 and 9581 is 91747656.

LCM(9576,9581) = 91747656

LCM of 9576 and 9581

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

LCM of:
and

Least Common Multiple of 9576 and 9581

LCM of 9576 and 9581 is 91747656

Least common multiple can be found by multiplying the highest exponent prime factors of 9576 and 9581. First we will calculate the prime factors of 9576 and 9581.

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

Prime Factorization of 9581


11 9581
13 871
67 67
1

Prime factors of 9581 are 11, 13,67. Prime factorization of 9581 in exponential form is:

9581 = 111×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9576 and 9581.

LCM(9576,9581) = 23×32×71×111×131×191×671
LCM(9576,9581) = 91747656

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

Factors of 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1, 11, 13, 67, 143, 737, 871, 9581

Least Common Multiple of 9576 and 9581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9576 and 9581, than apply into the LCM equation.

GCF(9576,9581) = 1
LCM(9576,9581) = ( 9576 × 9581) / 1
LCM(9576,9581) = 91747656 / 1
LCM(9576,9581) = 91747656

Properties of LCM 9576 and 9581

(i) The LCM of 9581 and 9576 is associative

LCM of 9576 and 9581 = LCM of 9581 and 9576

Related Least Common Multiples of 9576

Related Least Common Multiples of 9581

Frequently Asked Questions on LCM of 9576 and 9581

1. What is the LCM of 9576 and 9581?

Answer: LCM of 9576 and 9581 is 91747656.

2. 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.

3. What are the Factors of 9581?

Answer: Factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581. There are 8 integers that are factors of 9581. The greatest factor of 9581 is 9581.

4. How to Find the LCM of 9576 and 9581?

Answer:

Least Common Multiple of 9576 and 9581 = 91747656

Step 1: Find the prime factorization of 9576

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

Step 2: Find the prime factorization of 9581

9581 = 11 x 13 x 67

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

LCM = 91747656 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 19 x 67

Step 4: Therefore, the least common multiple of 9576 and 9581 is 91747656.