Least Common Multiple of 9499 and 9504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9499 and 9504 the smallest integer that is 90278496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9499 and 9504 is 90278496.

LCM(9499,9504) = 90278496

LCM of 9499 and 9504

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

LCM of:
and

Least Common Multiple of 9499 and 9504

LCM of 9499 and 9504 is 90278496

Least common multiple can be found by multiplying the highest exponent prime factors of 9499 and 9504. First we will calculate the prime factors of 9499 and 9504.

Prime Factorization of 9499


7 9499
23 1357
59 59
1

Prime factors of 9499 are 7, 23,59. Prime factorization of 9499 in exponential form is:

9499 = 71×231×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9499 and 9504.

LCM(9499,9504) = 25×33×71×111×231×591
LCM(9499,9504) = 90278496

Factors of 9499

List of positive integer factors of 9499 that divides 9499 without a remainder.

1, 7, 23, 59, 161, 413, 1357, 9499

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

Least Common Multiple of 9499 and 9504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9499 and 9504, than apply into the LCM equation.

GCF(9499,9504) = 1
LCM(9499,9504) = ( 9499 × 9504) / 1
LCM(9499,9504) = 90278496 / 1
LCM(9499,9504) = 90278496

Properties of LCM 9499 and 9504

(i) The LCM of 9504 and 9499 is associative

LCM of 9499 and 9504 = LCM of 9504 and 9499

Related Least Common Multiples of 9499

Related Least Common Multiples of 9504

Frequently Asked Questions on LCM of 9499 and 9504

1. What is the LCM of 9499 and 9504?

Answer: LCM of 9499 and 9504 is 90278496.

2. What are the Factors of 9499?

Answer: Factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499. There are 8 integers that are factors of 9499. The greatest factor of 9499 is 9499.

3. 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.

4. How to Find the LCM of 9499 and 9504?

Answer:

Least Common Multiple of 9499 and 9504 = 90278496

Step 1: Find the prime factorization of 9499

9499 = 7 x 23 x 59

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 90278496 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 23 x 59

Step 4: Therefore, the least common multiple of 9499 and 9504 is 90278496.