Least Common Multiple of 9332 and 9336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9332 and 9336 the smallest integer that is 21780888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9332 and 9336 is 21780888.

LCM(9332,9336) = 21780888

LCM of 9332 and 9336

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

LCM of:
and

Least Common Multiple of 9332 and 9336

LCM of 9332 and 9336 is 21780888

Least common multiple can be found by multiplying the highest exponent prime factors of 9332 and 9336. First we will calculate the prime factors of 9332 and 9336.

Prime Factorization of 9332


2 9332
2 4666
2333 2333
1

Prime factors of 9332 are 2,2333. Prime factorization of 9332 in exponential form is:

9332 = 22×23331

Prime Factorization of 9336


2 9336
2 4668
2 2334
3 1167
389 389
1

Prime factors of 9336 are 2, 3,389. Prime factorization of 9336 in exponential form is:

9336 = 23×31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 9332 and 9336.

LCM(9332,9336) = 23×31×3891×23331
LCM(9332,9336) = 21780888

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1, 2, 4, 2333, 4666, 9332

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

Least Common Multiple of 9332 and 9336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9332 and 9336, than apply into the LCM equation.

GCF(9332,9336) = 4
LCM(9332,9336) = ( 9332 × 9336) / 4
LCM(9332,9336) = 87123552 / 4
LCM(9332,9336) = 21780888

Properties of LCM 9332 and 9336

(i) The LCM of 9336 and 9332 is associative

LCM of 9332 and 9336 = LCM of 9336 and 9332

Related Least Common Multiples of 9332

Related Least Common Multiples of 9336

Frequently Asked Questions on LCM of 9332 and 9336

1. What is the LCM of 9332 and 9336?

Answer: LCM of 9332 and 9336 is 21780888.

2. What are the Factors of 9332?

Answer: Factors of 9332 are 1, 2, 4, 2333, 4666, 9332. There are 6 integers that are factors of 9332. The greatest factor of 9332 is 9332.

3. What are the Factors of 9336?

Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.

4. How to Find the LCM of 9332 and 9336?

Answer:

Least Common Multiple of 9332 and 9336 = 21780888

Step 1: Find the prime factorization of 9332

9332 = 2 x 2 x 2333

Step 2: Find the prime factorization of 9336

9336 = 2 x 2 x 2 x 3 x 389

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

LCM = 21780888 = 2 x 2 x 2 x 3 x 389 x 2333

Step 4: Therefore, the least common multiple of 9332 and 9336 is 21780888.