Least Common Multiple of 9288 and 9294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9288 and 9294 the smallest integer that is 14387112 that is divisible by both numbers.

Least Common Multiple (LCM) of 9288 and 9294 is 14387112.

LCM(9288,9294) = 14387112

LCM of 9288 and 9294

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

LCM of:
and

Least Common Multiple of 9288 and 9294

LCM of 9288 and 9294 is 14387112

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9294. First we will calculate the prime factors of 9288 and 9294.

Prime Factorization of 9288


2 9288
2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 9288 are 2, 3,43. Prime factorization of 9288 in exponential form is:

9288 = 23×33×431

Prime Factorization of 9294


2 9294
3 4647
1549 1549
1

Prime factors of 9294 are 2, 3,1549. Prime factorization of 9294 in exponential form is:

9294 = 21×31×15491

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9294.

LCM(9288,9294) = 23×33×431×15491
LCM(9288,9294) = 14387112

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288

Factors of 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1, 2, 3, 6, 1549, 3098, 4647, 9294

Least Common Multiple of 9288 and 9294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9288 and 9294, than apply into the LCM equation.

GCF(9288,9294) = 6
LCM(9288,9294) = ( 9288 × 9294) / 6
LCM(9288,9294) = 86322672 / 6
LCM(9288,9294) = 14387112

Properties of LCM 9288 and 9294

(i) The LCM of 9294 and 9288 is associative

LCM of 9288 and 9294 = LCM of 9294 and 9288

Related Least Common Multiples of 9288

Related Least Common Multiples of 9294

Frequently Asked Questions on LCM of 9288 and 9294

1. What is the LCM of 9288 and 9294?

Answer: LCM of 9288 and 9294 is 14387112.

2. What are the Factors of 9288?

Answer: Factors of 9288 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288. There are 32 integers that are factors of 9288. The greatest factor of 9288 is 9288.

3. What are the Factors of 9294?

Answer: Factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294. There are 8 integers that are factors of 9294. The greatest factor of 9294 is 9294.

4. How to Find the LCM of 9288 and 9294?

Answer:

Least Common Multiple of 9288 and 9294 = 14387112

Step 1: Find the prime factorization of 9288

9288 = 2 x 2 x 2 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 9294

9294 = 2 x 3 x 1549

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

LCM = 14387112 = 2 x 2 x 2 x 3 x 3 x 3 x 43 x 1549

Step 4: Therefore, the least common multiple of 9288 and 9294 is 14387112.