Least Common Multiple of 9336 and 9344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9336 and 9344 the smallest integer that is 10904448 that is divisible by both numbers.

Least Common Multiple (LCM) of 9336 and 9344 is 10904448.

LCM(9336,9344) = 10904448

LCM of 9336 and 9344

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

LCM of:
and

Least Common Multiple of 9336 and 9344

LCM of 9336 and 9344 is 10904448

Least common multiple can be found by multiplying the highest exponent prime factors of 9336 and 9344. First we will calculate the prime factors of 9336 and 9344.

Prime Factorization of 9336


2 9336
2 4668
2 2334
3 1167
389 389
1

Prime factors of 9336 are 2, 3,389. Prime factorization of 9336 in exponential form is:

9336 = 23×31×3891

Prime Factorization of 9344


2 9344
2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 9344 are 2,73. Prime factorization of 9344 in exponential form is:

9344 = 27×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9336 and 9344.

LCM(9336,9344) = 27×31×731×3891
LCM(9336,9344) = 10904448

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344

Least Common Multiple of 9336 and 9344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9336 and 9344, than apply into the LCM equation.

GCF(9336,9344) = 8
LCM(9336,9344) = ( 9336 × 9344) / 8
LCM(9336,9344) = 87235584 / 8
LCM(9336,9344) = 10904448

Properties of LCM 9336 and 9344

(i) The LCM of 9344 and 9336 is associative

LCM of 9336 and 9344 = LCM of 9344 and 9336

Related Least Common Multiples of 9336

Related Least Common Multiples of 9344

Frequently Asked Questions on LCM of 9336 and 9344

1. What is the LCM of 9336 and 9344?

Answer: LCM of 9336 and 9344 is 10904448.

2. What are the Factors of 9336?

Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.

3. What are the Factors of 9344?

Answer: Factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344. There are 16 integers that are factors of 9344. The greatest factor of 9344 is 9344.

4. How to Find the LCM of 9336 and 9344?

Answer:

Least Common Multiple of 9336 and 9344 = 10904448

Step 1: Find the prime factorization of 9336

9336 = 2 x 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 9344

9344 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 73

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

LCM = 10904448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 73 x 389

Step 4: Therefore, the least common multiple of 9336 and 9344 is 10904448.