Least Common Multiple of 9288 and 9291

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 9291 the smallest integer that is 28764936 that is divisible by both numbers.

Least Common Multiple (LCM) of 9288 and 9291 is 28764936.

LCM(9288,9291) = 28764936

LCM of 9288 and 9291

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

LCM of:
and

Least Common Multiple of 9288 and 9291

LCM of 9288 and 9291 is 28764936

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9291. First we will calculate the prime factors of 9288 and 9291.

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 9291


3 9291
19 3097
163 163
1

Prime factors of 9291 are 3, 19,163. Prime factorization of 9291 in exponential form is:

9291 = 31×191×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9291.

LCM(9288,9291) = 23×33×191×431×1631
LCM(9288,9291) = 28764936

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 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1, 3, 19, 57, 163, 489, 3097, 9291

Least Common Multiple of 9288 and 9291 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 9291, than apply into the LCM equation.

GCF(9288,9291) = 3
LCM(9288,9291) = ( 9288 × 9291) / 3
LCM(9288,9291) = 86294808 / 3
LCM(9288,9291) = 28764936

Properties of LCM 9288 and 9291

(i) The LCM of 9291 and 9288 is associative

LCM of 9288 and 9291 = LCM of 9291 and 9288

Related Least Common Multiples of 9288

Related Least Common Multiples of 9291

Frequently Asked Questions on LCM of 9288 and 9291

1. What is the LCM of 9288 and 9291?

Answer: LCM of 9288 and 9291 is 28764936.

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 9291?

Answer: Factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291. There are 8 integers that are factors of 9291. The greatest factor of 9291 is 9291.

4. How to Find the LCM of 9288 and 9291?

Answer:

Least Common Multiple of 9288 and 9291 = 28764936

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 9291

9291 = 3 x 19 x 163

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

LCM = 28764936 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 43 x 163

Step 4: Therefore, the least common multiple of 9288 and 9291 is 28764936.