Least Common Multiple of 9327 and 9335

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 9335 the smallest integer that is 87067545 that is divisible by both numbers.

Least Common Multiple (LCM) of 9327 and 9335 is 87067545.

LCM(9327,9335) = 87067545

LCM of 9327 and 9335

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

LCM of:
and

Least Common Multiple of 9327 and 9335

LCM of 9327 and 9335 is 87067545

Least common multiple can be found by multiplying the highest exponent prime factors of 9327 and 9335. First we will calculate the prime factors of 9327 and 9335.

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 9335


5 9335
1867 1867
1

Prime factors of 9335 are 5,1867. Prime factorization of 9335 in exponential form is:

9335 = 51×18671

Now multiplying the highest exponent prime factors to calculate the LCM of 9327 and 9335.

LCM(9327,9335) = 31×51×18671×31091
LCM(9327,9335) = 87067545

Factors of 9327

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

1, 3, 3109, 9327

Factors of 9335

List of positive integer factors of 9335 that divides 9335 without a remainder.

1, 5, 1867, 9335

Least Common Multiple of 9327 and 9335 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 9335, than apply into the LCM equation.

GCF(9327,9335) = 1
LCM(9327,9335) = ( 9327 × 9335) / 1
LCM(9327,9335) = 87067545 / 1
LCM(9327,9335) = 87067545

Properties of LCM 9327 and 9335

(i) The LCM of 9335 and 9327 is associative

LCM of 9327 and 9335 = LCM of 9335 and 9327

Related Least Common Multiples of 9327

Related Least Common Multiples of 9335

Frequently Asked Questions on LCM of 9327 and 9335

1. What is the LCM of 9327 and 9335?

Answer: LCM of 9327 and 9335 is 87067545.

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 9335?

Answer: Factors of 9335 are 1, 5, 1867, 9335. There are 4 integers that are factors of 9335. The greatest factor of 9335 is 9335.

4. How to Find the LCM of 9327 and 9335?

Answer:

Least Common Multiple of 9327 and 9335 = 87067545

Step 1: Find the prime factorization of 9327

9327 = 3 x 3109

Step 2: Find the prime factorization of 9335

9335 = 5 x 1867

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

LCM = 87067545 = 3 x 5 x 1867 x 3109

Step 4: Therefore, the least common multiple of 9327 and 9335 is 87067545.