Least Common Multiple of 9344 and 9348

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 9348 the smallest integer that is 21836928 that is divisible by both numbers.

Least Common Multiple (LCM) of 9344 and 9348 is 21836928.

LCM(9344,9348) = 21836928

LCM of 9344 and 9348

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

LCM of:
and

Least Common Multiple of 9344 and 9348

LCM of 9344 and 9348 is 21836928

Least common multiple can be found by multiplying the highest exponent prime factors of 9344 and 9348. First we will calculate the prime factors of 9344 and 9348.

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 9348


2 9348
2 4674
3 2337
19 779
41 41
1

Prime factors of 9348 are 2, 3, 19,41. Prime factorization of 9348 in exponential form is:

9348 = 22×31×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9344 and 9348.

LCM(9344,9348) = 27×31×191×411×731
LCM(9344,9348) = 21836928

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 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348

Least Common Multiple of 9344 and 9348 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 9348, than apply into the LCM equation.

GCF(9344,9348) = 4
LCM(9344,9348) = ( 9344 × 9348) / 4
LCM(9344,9348) = 87347712 / 4
LCM(9344,9348) = 21836928

Properties of LCM 9344 and 9348

(i) The LCM of 9348 and 9344 is associative

LCM of 9344 and 9348 = LCM of 9348 and 9344

Related Least Common Multiples of 9344

Related Least Common Multiples of 9348

Frequently Asked Questions on LCM of 9344 and 9348

1. What is the LCM of 9344 and 9348?

Answer: LCM of 9344 and 9348 is 21836928.

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 9348?

Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.

4. How to Find the LCM of 9344 and 9348?

Answer:

Least Common Multiple of 9344 and 9348 = 21836928

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 9348

9348 = 2 x 2 x 3 x 19 x 41

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

LCM = 21836928 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 41 x 73

Step 4: Therefore, the least common multiple of 9344 and 9348 is 21836928.