Least Common Multiple of 9576 and 9579

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 9579 the smallest integer that is 30576168 that is divisible by both numbers.

Least Common Multiple (LCM) of 9576 and 9579 is 30576168.

LCM(9576,9579) = 30576168

LCM of 9576 and 9579

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

LCM of:
and

Least Common Multiple of 9576 and 9579

LCM of 9576 and 9579 is 30576168

Least common multiple can be found by multiplying the highest exponent prime factors of 9576 and 9579. First we will calculate the prime factors of 9576 and 9579.

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 9579


3 9579
31 3193
103 103
1

Prime factors of 9579 are 3, 31,103. Prime factorization of 9579 in exponential form is:

9579 = 31×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9576 and 9579.

LCM(9576,9579) = 23×32×71×191×311×1031
LCM(9576,9579) = 30576168

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 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1, 3, 31, 93, 103, 309, 3193, 9579

Least Common Multiple of 9576 and 9579 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 9579, than apply into the LCM equation.

GCF(9576,9579) = 3
LCM(9576,9579) = ( 9576 × 9579) / 3
LCM(9576,9579) = 91728504 / 3
LCM(9576,9579) = 30576168

Properties of LCM 9576 and 9579

(i) The LCM of 9579 and 9576 is associative

LCM of 9576 and 9579 = LCM of 9579 and 9576

Related Least Common Multiples of 9576

Related Least Common Multiples of 9579

Frequently Asked Questions on LCM of 9576 and 9579

1. What is the LCM of 9576 and 9579?

Answer: LCM of 9576 and 9579 is 30576168.

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 9579?

Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.

4. How to Find the LCM of 9576 and 9579?

Answer:

Least Common Multiple of 9576 and 9579 = 30576168

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 9579

9579 = 3 x 31 x 103

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

LCM = 30576168 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 31 x 103

Step 4: Therefore, the least common multiple of 9576 and 9579 is 30576168.