Least Common Multiple of 9329 and 9332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9332 the smallest integer that is 87058228 that is divisible by both numbers.

Least Common Multiple (LCM) of 9329 and 9332 is 87058228.

LCM(9329,9332) = 87058228

LCM of 9329 and 9332

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

LCM of:
and

Least Common Multiple of 9329 and 9332

LCM of 9329 and 9332 is 87058228

Least common multiple can be found by multiplying the highest exponent prime factors of 9329 and 9332. First we will calculate the prime factors of 9329 and 9332.

Prime Factorization of 9329


19 9329
491 491
1

Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:

9329 = 191×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9332.

LCM(9329,9332) = 22×191×4911×23331
LCM(9329,9332) = 87058228

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1, 19, 491, 9329

Factors of 9332

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

1, 2, 4, 2333, 4666, 9332

Least Common Multiple of 9329 and 9332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9332, than apply into the LCM equation.

GCF(9329,9332) = 1
LCM(9329,9332) = ( 9329 × 9332) / 1
LCM(9329,9332) = 87058228 / 1
LCM(9329,9332) = 87058228

Properties of LCM 9329 and 9332

(i) The LCM of 9332 and 9329 is associative

LCM of 9329 and 9332 = LCM of 9332 and 9329

Related Least Common Multiples of 9329

Related Least Common Multiples of 9332

Frequently Asked Questions on LCM of 9329 and 9332

1. What is the LCM of 9329 and 9332?

Answer: LCM of 9329 and 9332 is 87058228.

2. What are the Factors of 9329?

Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.

3. 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.

4. How to Find the LCM of 9329 and 9332?

Answer:

Least Common Multiple of 9329 and 9332 = 87058228

Step 1: Find the prime factorization of 9329

9329 = 19 x 491

Step 2: Find the prime factorization of 9332

9332 = 2 x 2 x 2333

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

LCM = 87058228 = 2 x 2 x 19 x 491 x 2333

Step 4: Therefore, the least common multiple of 9329 and 9332 is 87058228.