Least Common Multiple of 9576 and 9580

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 9580 the smallest integer that is 22934520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9576 and 9580 is 22934520.

LCM(9576,9580) = 22934520

LCM of 9576 and 9580

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

LCM of:
and

Least Common Multiple of 9576 and 9580

LCM of 9576 and 9580 is 22934520

Least common multiple can be found by multiplying the highest exponent prime factors of 9576 and 9580. First we will calculate the prime factors of 9576 and 9580.

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 9580


2 9580
2 4790
5 2395
479 479
1

Prime factors of 9580 are 2, 5,479. Prime factorization of 9580 in exponential form is:

9580 = 22×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 9576 and 9580.

LCM(9576,9580) = 23×32×51×71×191×4791
LCM(9576,9580) = 22934520

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 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580

Least Common Multiple of 9576 and 9580 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 9580, than apply into the LCM equation.

GCF(9576,9580) = 4
LCM(9576,9580) = ( 9576 × 9580) / 4
LCM(9576,9580) = 91738080 / 4
LCM(9576,9580) = 22934520

Properties of LCM 9576 and 9580

(i) The LCM of 9580 and 9576 is associative

LCM of 9576 and 9580 = LCM of 9580 and 9576

Related Least Common Multiples of 9576

Related Least Common Multiples of 9580

Frequently Asked Questions on LCM of 9576 and 9580

1. What is the LCM of 9576 and 9580?

Answer: LCM of 9576 and 9580 is 22934520.

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 9580?

Answer: Factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580. There are 12 integers that are factors of 9580. The greatest factor of 9580 is 9580.

4. How to Find the LCM of 9576 and 9580?

Answer:

Least Common Multiple of 9576 and 9580 = 22934520

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 9580

9580 = 2 x 2 x 5 x 479

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

LCM = 22934520 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 479

Step 4: Therefore, the least common multiple of 9576 and 9580 is 22934520.