Least Common Multiple of 9496 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 9496 and 9504 the smallest integer that is 11281248 that is divisible by both numbers.

Least Common Multiple (LCM) of 9496 and 9504 is 11281248.

LCM(9496,9504) = 11281248

LCM of 9496 and 9504

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

LCM of:
and

Least Common Multiple of 9496 and 9504

LCM of 9496 and 9504 is 11281248

Least common multiple can be found by multiplying the highest exponent prime factors of 9496 and 9504. First we will calculate the prime factors of 9496 and 9504.

Prime Factorization of 9496


2 9496
2 4748
2 2374
1187 1187
1

Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:

9496 = 23×11871

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 9496 and 9504.

LCM(9496,9504) = 25×33×111×11871
LCM(9496,9504) = 11281248

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1, 2, 4, 8, 1187, 2374, 4748, 9496

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 9496 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 9496 and 9504, than apply into the LCM equation.

GCF(9496,9504) = 8
LCM(9496,9504) = ( 9496 × 9504) / 8
LCM(9496,9504) = 90249984 / 8
LCM(9496,9504) = 11281248

Properties of LCM 9496 and 9504

(i) The LCM of 9504 and 9496 is associative

LCM of 9496 and 9504 = LCM of 9504 and 9496

Related Least Common Multiples of 9496

Related Least Common Multiples of 9504

Frequently Asked Questions on LCM of 9496 and 9504

1. What is the LCM of 9496 and 9504?

Answer: LCM of 9496 and 9504 is 11281248.

2. What are the Factors of 9496?

Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.

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 9496 and 9504?

Answer:

Least Common Multiple of 9496 and 9504 = 11281248

Step 1: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

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 = 11281248 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 1187

Step 4: Therefore, the least common multiple of 9496 and 9504 is 11281248.