Least Common Multiple of 9344 and 9351

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 9351 the smallest integer that is 87375744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9344 and 9351 is 87375744.

LCM(9344,9351) = 87375744

LCM of 9344 and 9351

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

LCM of:
and

Least Common Multiple of 9344 and 9351

LCM of 9344 and 9351 is 87375744

Least common multiple can be found by multiplying the highest exponent prime factors of 9344 and 9351. First we will calculate the prime factors of 9344 and 9351.

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 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 9344 and 9351.

LCM(9344,9351) = 27×32×731×10391
LCM(9344,9351) = 87375744

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 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1, 3, 9, 1039, 3117, 9351

Least Common Multiple of 9344 and 9351 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 9351, than apply into the LCM equation.

GCF(9344,9351) = 1
LCM(9344,9351) = ( 9344 × 9351) / 1
LCM(9344,9351) = 87375744 / 1
LCM(9344,9351) = 87375744

Properties of LCM 9344 and 9351

(i) The LCM of 9351 and 9344 is associative

LCM of 9344 and 9351 = LCM of 9351 and 9344

Related Least Common Multiples of 9344

Related Least Common Multiples of 9351

Frequently Asked Questions on LCM of 9344 and 9351

1. What is the LCM of 9344 and 9351?

Answer: LCM of 9344 and 9351 is 87375744.

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 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

4. How to Find the LCM of 9344 and 9351?

Answer:

Least Common Multiple of 9344 and 9351 = 87375744

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 9351

9351 = 3 x 3 x 1039

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

LCM = 87375744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 73 x 1039

Step 4: Therefore, the least common multiple of 9344 and 9351 is 87375744.