Least Common Multiple of 9396 and 9400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9396 and 9400 the smallest integer that is 22080600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9396 and 9400 is 22080600.

LCM(9396,9400) = 22080600

LCM of 9396 and 9400

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

LCM of:
and

Least Common Multiple of 9396 and 9400

LCM of 9396 and 9400 is 22080600

Least common multiple can be found by multiplying the highest exponent prime factors of 9396 and 9400. First we will calculate the prime factors of 9396 and 9400.

Prime Factorization of 9396


2 9396
2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 9396 are 2, 3,29. Prime factorization of 9396 in exponential form is:

9396 = 22×34×291

Prime Factorization of 9400


2 9400
2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 9400 are 2, 5,47. Prime factorization of 9400 in exponential form is:

9400 = 23×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9396 and 9400.

LCM(9396,9400) = 23×34×52×291×471
LCM(9396,9400) = 22080600

Factors of 9396

List of positive integer factors of 9396 that divides 9396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400

Least Common Multiple of 9396 and 9400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9396 and 9400, than apply into the LCM equation.

GCF(9396,9400) = 4
LCM(9396,9400) = ( 9396 × 9400) / 4
LCM(9396,9400) = 88322400 / 4
LCM(9396,9400) = 22080600

Properties of LCM 9396 and 9400

(i) The LCM of 9400 and 9396 is associative

LCM of 9396 and 9400 = LCM of 9400 and 9396

Related Least Common Multiples of 9396

Related Least Common Multiples of 9400

Frequently Asked Questions on LCM of 9396 and 9400

1. What is the LCM of 9396 and 9400?

Answer: LCM of 9396 and 9400 is 22080600.

2. What are the Factors of 9396?

Answer: Factors of 9396 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396. There are 30 integers that are factors of 9396. The greatest factor of 9396 is 9396.

3. What are the Factors of 9400?

Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.

4. How to Find the LCM of 9396 and 9400?

Answer:

Least Common Multiple of 9396 and 9400 = 22080600

Step 1: Find the prime factorization of 9396

9396 = 2 x 2 x 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 9400

9400 = 2 x 2 x 2 x 5 x 5 x 47

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

LCM = 22080600 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 29 x 47

Step 4: Therefore, the least common multiple of 9396 and 9400 is 22080600.