Least Common Multiple of 9288 and 9290

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 9290 the smallest integer that is 43142760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9288 and 9290 is 43142760.

LCM(9288,9290) = 43142760

LCM of 9288 and 9290

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

LCM of:
and

Least Common Multiple of 9288 and 9290

LCM of 9288 and 9290 is 43142760

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9290. First we will calculate the prime factors of 9288 and 9290.

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 9290


2 9290
5 4645
929 929
1

Prime factors of 9290 are 2, 5,929. Prime factorization of 9290 in exponential form is:

9290 = 21×51×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9290.

LCM(9288,9290) = 23×33×51×431×9291
LCM(9288,9290) = 43142760

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 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1, 2, 5, 10, 929, 1858, 4645, 9290

Least Common Multiple of 9288 and 9290 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 9290, than apply into the LCM equation.

GCF(9288,9290) = 2
LCM(9288,9290) = ( 9288 × 9290) / 2
LCM(9288,9290) = 86285520 / 2
LCM(9288,9290) = 43142760

Properties of LCM 9288 and 9290

(i) The LCM of 9290 and 9288 is associative

LCM of 9288 and 9290 = LCM of 9290 and 9288

Related Least Common Multiples of 9288

Related Least Common Multiples of 9290

Frequently Asked Questions on LCM of 9288 and 9290

1. What is the LCM of 9288 and 9290?

Answer: LCM of 9288 and 9290 is 43142760.

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 9290?

Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.

4. How to Find the LCM of 9288 and 9290?

Answer:

Least Common Multiple of 9288 and 9290 = 43142760

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 9290

9290 = 2 x 5 x 929

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

LCM = 43142760 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 x 929

Step 4: Therefore, the least common multiple of 9288 and 9290 is 43142760.