Least Common Multiple of 9572 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 9572 and 9576 the smallest integer that is 22915368 that is divisible by both numbers.

Least Common Multiple (LCM) of 9572 and 9576 is 22915368.

LCM(9572,9576) = 22915368

LCM of 9572 and 9576

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

LCM of:
and

Least Common Multiple of 9572 and 9576

LCM of 9572 and 9576 is 22915368

Least common multiple can be found by multiplying the highest exponent prime factors of 9572 and 9576. First we will calculate the prime factors of 9572 and 9576.

Prime Factorization of 9572


2 9572
2 4786
2393 2393
1

Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:

9572 = 22×23931

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 9572 and 9576.

LCM(9572,9576) = 23×32×71×191×23931
LCM(9572,9576) = 22915368

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1, 2, 4, 2393, 4786, 9572

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 9572 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 9572 and 9576, than apply into the LCM equation.

GCF(9572,9576) = 4
LCM(9572,9576) = ( 9572 × 9576) / 4
LCM(9572,9576) = 91661472 / 4
LCM(9572,9576) = 22915368

Properties of LCM 9572 and 9576

(i) The LCM of 9576 and 9572 is associative

LCM of 9572 and 9576 = LCM of 9576 and 9572

Related Least Common Multiples of 9572

Related Least Common Multiples of 9576

Frequently Asked Questions on LCM of 9572 and 9576

1. What is the LCM of 9572 and 9576?

Answer: LCM of 9572 and 9576 is 22915368.

2. What are the Factors of 9572?

Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.

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 9572 and 9576?

Answer:

Least Common Multiple of 9572 and 9576 = 22915368

Step 1: Find the prime factorization of 9572

9572 = 2 x 2 x 2393

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 = 22915368 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 2393

Step 4: Therefore, the least common multiple of 9572 and 9576 is 22915368.