Least Common Multiple of 9332 and 9337

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 9337 the smallest integer that is 87132884 that is divisible by both numbers.

Least Common Multiple (LCM) of 9332 and 9337 is 87132884.

LCM(9332,9337) = 87132884

LCM of 9332 and 9337

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

LCM of:
and

Least Common Multiple of 9332 and 9337

LCM of 9332 and 9337 is 87132884

Least common multiple can be found by multiplying the highest exponent prime factors of 9332 and 9337. First we will calculate the prime factors of 9332 and 9337.

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 9337


9337 9337
1

Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:

9337 = 93371

Now multiplying the highest exponent prime factors to calculate the LCM of 9332 and 9337.

LCM(9332,9337) = 22×23331×93371
LCM(9332,9337) = 87132884

Factors of 9332

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

1, 2, 4, 2333, 4666, 9332

Factors of 9337

List of positive integer factors of 9337 that divides 9337 without a remainder.

1, 9337

Least Common Multiple of 9332 and 9337 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 9337, than apply into the LCM equation.

GCF(9332,9337) = 1
LCM(9332,9337) = ( 9332 × 9337) / 1
LCM(9332,9337) = 87132884 / 1
LCM(9332,9337) = 87132884

Properties of LCM 9332 and 9337

(i) The LCM of 9337 and 9332 is associative

LCM of 9332 and 9337 = LCM of 9337 and 9332

Frequently Asked Questions on LCM of 9332 and 9337

1. What is the LCM of 9332 and 9337?

Answer: LCM of 9332 and 9337 is 87132884.

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 9337?

Answer: Factors of 9337 are 1, 9337. There are 2 integers that are factors of 9337. The greatest factor of 9337 is 9337.

4. How to Find the LCM of 9332 and 9337?

Answer:

Least Common Multiple of 9332 and 9337 = 87132884

Step 1: Find the prime factorization of 9332

9332 = 2 x 2 x 2333

Step 2: Find the prime factorization of 9337

9337 = 9337

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

LCM = 87132884 = 2 x 2 x 2333 x 9337

Step 4: Therefore, the least common multiple of 9332 and 9337 is 87132884.