Least Common Multiple of 9570 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 9570 and 9576 the smallest integer that is 15273720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9570 and 9576 is 15273720.

LCM(9570,9576) = 15273720

LCM of 9570 and 9576

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

LCM of:
and

Least Common Multiple of 9570 and 9576

LCM of 9570 and 9576 is 15273720

Least common multiple can be found by multiplying the highest exponent prime factors of 9570 and 9576. First we will calculate the prime factors of 9570 and 9576.

Prime Factorization of 9570


2 9570
3 4785
5 1595
11 319
29 29
1

Prime factors of 9570 are 2, 3, 5, 11,29. Prime factorization of 9570 in exponential form is:

9570 = 21×31×51×111×291

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 9570 and 9576.

LCM(9570,9576) = 23×32×51×71×111×191×291
LCM(9570,9576) = 15273720

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570

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 9570 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 9570 and 9576, than apply into the LCM equation.

GCF(9570,9576) = 6
LCM(9570,9576) = ( 9570 × 9576) / 6
LCM(9570,9576) = 91642320 / 6
LCM(9570,9576) = 15273720

Properties of LCM 9570 and 9576

(i) The LCM of 9576 and 9570 is associative

LCM of 9570 and 9576 = LCM of 9576 and 9570

Related Least Common Multiples of 9570

Related Least Common Multiples of 9576

Frequently Asked Questions on LCM of 9570 and 9576

1. What is the LCM of 9570 and 9576?

Answer: LCM of 9570 and 9576 is 15273720.

2. What are the Factors of 9570?

Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.

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 9570 and 9576?

Answer:

Least Common Multiple of 9570 and 9576 = 15273720

Step 1: Find the prime factorization of 9570

9570 = 2 x 3 x 5 x 11 x 29

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 = 15273720 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 9570 and 9576 is 15273720.