Least Common Multiple of 9288 and 9292

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 9292 the smallest integer that is 21576024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9288 and 9292 is 21576024.

LCM(9288,9292) = 21576024

LCM of 9288 and 9292

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

LCM of:
and

Least Common Multiple of 9288 and 9292

LCM of 9288 and 9292 is 21576024

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9292. First we will calculate the prime factors of 9288 and 9292.

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 9292


2 9292
2 4646
23 2323
101 101
1

Prime factors of 9292 are 2, 23,101. Prime factorization of 9292 in exponential form is:

9292 = 22×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9292.

LCM(9288,9292) = 23×33×231×431×1011
LCM(9288,9292) = 21576024

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 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292

Least Common Multiple of 9288 and 9292 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 9292, than apply into the LCM equation.

GCF(9288,9292) = 4
LCM(9288,9292) = ( 9288 × 9292) / 4
LCM(9288,9292) = 86304096 / 4
LCM(9288,9292) = 21576024

Properties of LCM 9288 and 9292

(i) The LCM of 9292 and 9288 is associative

LCM of 9288 and 9292 = LCM of 9292 and 9288

Related Least Common Multiples of 9288

Related Least Common Multiples of 9292

Frequently Asked Questions on LCM of 9288 and 9292

1. What is the LCM of 9288 and 9292?

Answer: LCM of 9288 and 9292 is 21576024.

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 9292?

Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.

4. How to Find the LCM of 9288 and 9292?

Answer:

Least Common Multiple of 9288 and 9292 = 21576024

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 9292

9292 = 2 x 2 x 23 x 101

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

LCM = 21576024 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 43 x 101

Step 4: Therefore, the least common multiple of 9288 and 9292 is 21576024.