Least Common Multiple of 9573 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 9573 and 9576 the smallest integer that is 30557016 that is divisible by both numbers.

Least Common Multiple (LCM) of 9573 and 9576 is 30557016.

LCM(9573,9576) = 30557016

LCM of 9573 and 9576

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

LCM of:
and

Least Common Multiple of 9573 and 9576

LCM of 9573 and 9576 is 30557016

Least common multiple can be found by multiplying the highest exponent prime factors of 9573 and 9576. First we will calculate the prime factors of 9573 and 9576.

Prime Factorization of 9573


3 9573
3191 3191
1

Prime factors of 9573 are 3,3191. Prime factorization of 9573 in exponential form is:

9573 = 31×31911

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 9573 and 9576.

LCM(9573,9576) = 23×32×71×191×31911
LCM(9573,9576) = 30557016

Factors of 9573

List of positive integer factors of 9573 that divides 9573 without a remainder.

1, 3, 3191, 9573

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 9573 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 9573 and 9576, than apply into the LCM equation.

GCF(9573,9576) = 3
LCM(9573,9576) = ( 9573 × 9576) / 3
LCM(9573,9576) = 91671048 / 3
LCM(9573,9576) = 30557016

Properties of LCM 9573 and 9576

(i) The LCM of 9576 and 9573 is associative

LCM of 9573 and 9576 = LCM of 9576 and 9573

Related Least Common Multiples of 9573

Related Least Common Multiples of 9576

Frequently Asked Questions on LCM of 9573 and 9576

1. What is the LCM of 9573 and 9576?

Answer: LCM of 9573 and 9576 is 30557016.

2. What are the Factors of 9573?

Answer: Factors of 9573 are 1, 3, 3191, 9573. There are 4 integers that are factors of 9573. The greatest factor of 9573 is 9573.

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 9573 and 9576?

Answer:

Least Common Multiple of 9573 and 9576 = 30557016

Step 1: Find the prime factorization of 9573

9573 = 3 x 3191

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 = 30557016 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 3191

Step 4: Therefore, the least common multiple of 9573 and 9576 is 30557016.