Least Common Multiple of 9341 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 9341 and 9344 the smallest integer that is 87282304 that is divisible by both numbers.

Least Common Multiple (LCM) of 9341 and 9344 is 87282304.

LCM(9341,9344) = 87282304

LCM of 9341 and 9344

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

LCM of:
and

Least Common Multiple of 9341 and 9344

LCM of 9341 and 9344 is 87282304

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9344. First we will calculate the prime factors of 9341 and 9344.

Prime Factorization of 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

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 9341 and 9344.

LCM(9341,9344) = 27×731×93411
LCM(9341,9344) = 87282304

Factors of 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1, 9341

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 9341 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 9341 and 9344, than apply into the LCM equation.

GCF(9341,9344) = 1
LCM(9341,9344) = ( 9341 × 9344) / 1
LCM(9341,9344) = 87282304 / 1
LCM(9341,9344) = 87282304

Properties of LCM 9341 and 9344

(i) The LCM of 9344 and 9341 is associative

LCM of 9341 and 9344 = LCM of 9344 and 9341

Related Least Common Multiples of 9341

Related Least Common Multiples of 9344

Frequently Asked Questions on LCM of 9341 and 9344

1. What is the LCM of 9341 and 9344?

Answer: LCM of 9341 and 9344 is 87282304.

2. What are the Factors of 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

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 9341 and 9344?

Answer:

Least Common Multiple of 9341 and 9344 = 87282304

Step 1: Find the prime factorization of 9341

9341 = 9341

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 = 87282304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 73 x 9341

Step 4: Therefore, the least common multiple of 9341 and 9344 is 87282304.