Least Common Multiple of 9498 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 9498 and 9504 the smallest integer that is 15044832 that is divisible by both numbers.

Least Common Multiple (LCM) of 9498 and 9504 is 15044832.

LCM(9498,9504) = 15044832

LCM of 9498 and 9504

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

LCM of:
and

Least Common Multiple of 9498 and 9504

LCM of 9498 and 9504 is 15044832

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9504. First we will calculate the prime factors of 9498 and 9504.

Prime Factorization of 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2, 3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

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 9498 and 9504.

LCM(9498,9504) = 25×33×111×15831
LCM(9498,9504) = 15044832

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1, 2, 3, 6, 1583, 3166, 4749, 9498

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 9498 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 9498 and 9504, than apply into the LCM equation.

GCF(9498,9504) = 6
LCM(9498,9504) = ( 9498 × 9504) / 6
LCM(9498,9504) = 90268992 / 6
LCM(9498,9504) = 15044832

Properties of LCM 9498 and 9504

(i) The LCM of 9504 and 9498 is associative

LCM of 9498 and 9504 = LCM of 9504 and 9498

Related Least Common Multiples of 9498

Related Least Common Multiples of 9504

Frequently Asked Questions on LCM of 9498 and 9504

1. What is the LCM of 9498 and 9504?

Answer: LCM of 9498 and 9504 is 15044832.

2. What are the Factors of 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

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 9498 and 9504?

Answer:

Least Common Multiple of 9498 and 9504 = 15044832

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

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 = 15044832 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 1583

Step 4: Therefore, the least common multiple of 9498 and 9504 is 15044832.