Least Common Multiple of 9504 and 9511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9504 and 9511 the smallest integer that is 90392544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9504 and 9511 is 90392544.

LCM(9504,9511) = 90392544

LCM of 9504 and 9511

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

LCM of:
and

Least Common Multiple of 9504 and 9511

LCM of 9504 and 9511 is 90392544

Least common multiple can be found by multiplying the highest exponent prime factors of 9504 and 9511. First we will calculate the prime factors of 9504 and 9511.

Prime Factorization of 9504


2 9504
2 4752
2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 9504 are 2, 3,11. Prime factorization of 9504 in exponential form is:

9504 = 25×33×111

Prime Factorization of 9511


9511 9511
1

Prime factors of 9511 are 9511. Prime factorization of 9511 in exponential form is:

9511 = 95111

Now multiplying the highest exponent prime factors to calculate the LCM of 9504 and 9511.

LCM(9504,9511) = 25×33×111×95111
LCM(9504,9511) = 90392544

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504

Factors of 9511

List of positive integer factors of 9511 that divides 9511 without a remainder.

1, 9511

Least Common Multiple of 9504 and 9511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9504 and 9511, than apply into the LCM equation.

GCF(9504,9511) = 1
LCM(9504,9511) = ( 9504 × 9511) / 1
LCM(9504,9511) = 90392544 / 1
LCM(9504,9511) = 90392544

Properties of LCM 9504 and 9511

(i) The LCM of 9511 and 9504 is associative

LCM of 9504 and 9511 = LCM of 9511 and 9504

Related Least Common Multiples of 9504

Related Least Common Multiples of 9511

Frequently Asked Questions on LCM of 9504 and 9511

1. What is the LCM of 9504 and 9511?

Answer: LCM of 9504 and 9511 is 90392544.

2. What are the Factors of 9504?

Answer: Factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504. There are 48 integers that are factors of 9504. The greatest factor of 9504 is 9504.

3. What are the Factors of 9511?

Answer: Factors of 9511 are 1, 9511. There are 2 integers that are factors of 9511. The greatest factor of 9511 is 9511.

4. How to Find the LCM of 9504 and 9511?

Answer:

Least Common Multiple of 9504 and 9511 = 90392544

Step 1: Find the prime factorization of 9504

9504 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 9511

9511 = 9511

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

LCM = 90392544 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 9511

Step 4: Therefore, the least common multiple of 9504 and 9511 is 90392544.