Least Common Multiple of 9344 and 9352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9344 and 9352 the smallest integer that is 10923136 that is divisible by both numbers.

Least Common Multiple (LCM) of 9344 and 9352 is 10923136.

LCM(9344,9352) = 10923136

LCM of 9344 and 9352

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

LCM of:
and

Least Common Multiple of 9344 and 9352

LCM of 9344 and 9352 is 10923136

Least common multiple can be found by multiplying the highest exponent prime factors of 9344 and 9352. First we will calculate the prime factors of 9344 and 9352.

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

Prime Factorization of 9352


2 9352
2 4676
2 2338
7 1169
167 167
1

Prime factors of 9352 are 2, 7,167. Prime factorization of 9352 in exponential form is:

9352 = 23×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9344 and 9352.

LCM(9344,9352) = 27×71×731×1671
LCM(9344,9352) = 10923136

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

Factors of 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352

Least Common Multiple of 9344 and 9352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9344 and 9352, than apply into the LCM equation.

GCF(9344,9352) = 8
LCM(9344,9352) = ( 9344 × 9352) / 8
LCM(9344,9352) = 87385088 / 8
LCM(9344,9352) = 10923136

Properties of LCM 9344 and 9352

(i) The LCM of 9352 and 9344 is associative

LCM of 9344 and 9352 = LCM of 9352 and 9344

Related Least Common Multiples of 9344

Related Least Common Multiples of 9352

Frequently Asked Questions on LCM of 9344 and 9352

1. What is the LCM of 9344 and 9352?

Answer: LCM of 9344 and 9352 is 10923136.

2. 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.

3. What are the Factors of 9352?

Answer: Factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352. There are 16 integers that are factors of 9352. The greatest factor of 9352 is 9352.

4. How to Find the LCM of 9344 and 9352?

Answer:

Least Common Multiple of 9344 and 9352 = 10923136

Step 1: Find the prime factorization of 9344

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

Step 2: Find the prime factorization of 9352

9352 = 2 x 2 x 2 x 7 x 167

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

LCM = 10923136 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 73 x 167

Step 4: Therefore, the least common multiple of 9344 and 9352 is 10923136.