Least Common Multiple of 9388 and 9394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9388 and 9394 the smallest integer that is 44095436 that is divisible by both numbers.

Least Common Multiple (LCM) of 9388 and 9394 is 44095436.

LCM(9388,9394) = 44095436

LCM of 9388 and 9394

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

LCM of:
and

Least Common Multiple of 9388 and 9394

LCM of 9388 and 9394 is 44095436

Least common multiple can be found by multiplying the highest exponent prime factors of 9388 and 9394. First we will calculate the prime factors of 9388 and 9394.

Prime Factorization of 9388


2 9388
2 4694
2347 2347
1

Prime factors of 9388 are 2,2347. Prime factorization of 9388 in exponential form is:

9388 = 22×23471

Prime Factorization of 9394


2 9394
7 4697
11 671
61 61
1

Prime factors of 9394 are 2, 7, 11,61. Prime factorization of 9394 in exponential form is:

9394 = 21×71×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9388 and 9394.

LCM(9388,9394) = 22×71×111×611×23471
LCM(9388,9394) = 44095436

Factors of 9388

List of positive integer factors of 9388 that divides 9388 without a remainder.

1, 2, 4, 2347, 4694, 9388

Factors of 9394

List of positive integer factors of 9394 that divides 9394 without a remainder.

1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394

Least Common Multiple of 9388 and 9394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9388 and 9394, than apply into the LCM equation.

GCF(9388,9394) = 2
LCM(9388,9394) = ( 9388 × 9394) / 2
LCM(9388,9394) = 88190872 / 2
LCM(9388,9394) = 44095436

Properties of LCM 9388 and 9394

(i) The LCM of 9394 and 9388 is associative

LCM of 9388 and 9394 = LCM of 9394 and 9388

Related Least Common Multiples of 9388

Related Least Common Multiples of 9394

Frequently Asked Questions on LCM of 9388 and 9394

1. What is the LCM of 9388 and 9394?

Answer: LCM of 9388 and 9394 is 44095436.

2. What are the Factors of 9388?

Answer: Factors of 9388 are 1, 2, 4, 2347, 4694, 9388. There are 6 integers that are factors of 9388. The greatest factor of 9388 is 9388.

3. What are the Factors of 9394?

Answer: Factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394. There are 16 integers that are factors of 9394. The greatest factor of 9394 is 9394.

4. How to Find the LCM of 9388 and 9394?

Answer:

Least Common Multiple of 9388 and 9394 = 44095436

Step 1: Find the prime factorization of 9388

9388 = 2 x 2 x 2347

Step 2: Find the prime factorization of 9394

9394 = 2 x 7 x 11 x 61

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

LCM = 44095436 = 2 x 2 x 7 x 11 x 61 x 2347

Step 4: Therefore, the least common multiple of 9388 and 9394 is 44095436.