Least Common Multiple of 9327 and 9334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9327 and 9334 the smallest integer that is 87058218 that is divisible by both numbers.

Least Common Multiple (LCM) of 9327 and 9334 is 87058218.

LCM(9327,9334) = 87058218

LCM of 9327 and 9334

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

LCM of:
and

Least Common Multiple of 9327 and 9334

LCM of 9327 and 9334 is 87058218

Least common multiple can be found by multiplying the highest exponent prime factors of 9327 and 9334. First we will calculate the prime factors of 9327 and 9334.

Prime Factorization of 9327


3 9327
3109 3109
1

Prime factors of 9327 are 3,3109. Prime factorization of 9327 in exponential form is:

9327 = 31×31091

Prime Factorization of 9334


2 9334
13 4667
359 359
1

Prime factors of 9334 are 2, 13,359. Prime factorization of 9334 in exponential form is:

9334 = 21×131×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 9327 and 9334.

LCM(9327,9334) = 21×31×131×3591×31091
LCM(9327,9334) = 87058218

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1, 3, 3109, 9327

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1, 2, 13, 26, 359, 718, 4667, 9334

Least Common Multiple of 9327 and 9334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9327 and 9334, than apply into the LCM equation.

GCF(9327,9334) = 1
LCM(9327,9334) = ( 9327 × 9334) / 1
LCM(9327,9334) = 87058218 / 1
LCM(9327,9334) = 87058218

Properties of LCM 9327 and 9334

(i) The LCM of 9334 and 9327 is associative

LCM of 9327 and 9334 = LCM of 9334 and 9327

Related Least Common Multiples of 9327

Related Least Common Multiples of 9334

Frequently Asked Questions on LCM of 9327 and 9334

1. What is the LCM of 9327 and 9334?

Answer: LCM of 9327 and 9334 is 87058218.

2. What are the Factors of 9327?

Answer: Factors of 9327 are 1, 3, 3109, 9327. There are 4 integers that are factors of 9327. The greatest factor of 9327 is 9327.

3. What are the Factors of 9334?

Answer: Factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334. There are 8 integers that are factors of 9334. The greatest factor of 9334 is 9334.

4. How to Find the LCM of 9327 and 9334?

Answer:

Least Common Multiple of 9327 and 9334 = 87058218

Step 1: Find the prime factorization of 9327

9327 = 3 x 3109

Step 2: Find the prime factorization of 9334

9334 = 2 x 13 x 359

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

LCM = 87058218 = 2 x 3 x 13 x 359 x 3109

Step 4: Therefore, the least common multiple of 9327 and 9334 is 87058218.