Least Common Multiple of 9344 and 9350

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 9350 the smallest integer that is 43683200 that is divisible by both numbers.

Least Common Multiple (LCM) of 9344 and 9350 is 43683200.

LCM(9344,9350) = 43683200

LCM of 9344 and 9350

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

LCM of:
and

Least Common Multiple of 9344 and 9350

LCM of 9344 and 9350 is 43683200

Least common multiple can be found by multiplying the highest exponent prime factors of 9344 and 9350. First we will calculate the prime factors of 9344 and 9350.

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 9350


2 9350
5 4675
5 935
11 187
17 17
1

Prime factors of 9350 are 2, 5, 11,17. Prime factorization of 9350 in exponential form is:

9350 = 21×52×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9344 and 9350.

LCM(9344,9350) = 27×52×111×171×731
LCM(9344,9350) = 43683200

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 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350

Least Common Multiple of 9344 and 9350 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 9350, than apply into the LCM equation.

GCF(9344,9350) = 2
LCM(9344,9350) = ( 9344 × 9350) / 2
LCM(9344,9350) = 87366400 / 2
LCM(9344,9350) = 43683200

Properties of LCM 9344 and 9350

(i) The LCM of 9350 and 9344 is associative

LCM of 9344 and 9350 = LCM of 9350 and 9344

Related Least Common Multiples of 9344

Related Least Common Multiples of 9350

Frequently Asked Questions on LCM of 9344 and 9350

1. What is the LCM of 9344 and 9350?

Answer: LCM of 9344 and 9350 is 43683200.

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 9350?

Answer: Factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350. There are 24 integers that are factors of 9350. The greatest factor of 9350 is 9350.

4. How to Find the LCM of 9344 and 9350?

Answer:

Least Common Multiple of 9344 and 9350 = 43683200

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 9350

9350 = 2 x 5 x 5 x 11 x 17

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

LCM = 43683200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 17 x 73

Step 4: Therefore, the least common multiple of 9344 and 9350 is 43683200.