Least Common Multiple of 9331 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 9331 and 9335 the smallest integer that is 87104885 that is divisible by both numbers.

Least Common Multiple (LCM) of 9331 and 9335 is 87104885.

LCM(9331,9335) = 87104885

LCM of 9331 and 9335

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

LCM of:
and

Least Common Multiple of 9331 and 9335

LCM of 9331 and 9335 is 87104885

Least common multiple can be found by multiplying the highest exponent prime factors of 9331 and 9335. First we will calculate the prime factors of 9331 and 9335.

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

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 9331 and 9335.

LCM(9331,9335) = 51×71×311×431×18671
LCM(9331,9335) = 87104885

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1, 7, 31, 43, 217, 301, 1333, 9331

Factors of 9335

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

1, 5, 1867, 9335

Least Common Multiple of 9331 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 9331 and 9335, than apply into the LCM equation.

GCF(9331,9335) = 1
LCM(9331,9335) = ( 9331 × 9335) / 1
LCM(9331,9335) = 87104885 / 1
LCM(9331,9335) = 87104885

Properties of LCM 9331 and 9335

(i) The LCM of 9335 and 9331 is associative

LCM of 9331 and 9335 = LCM of 9335 and 9331

Related Least Common Multiples of 9331

Related Least Common Multiples of 9335

Frequently Asked Questions on LCM of 9331 and 9335

1. What is the LCM of 9331 and 9335?

Answer: LCM of 9331 and 9335 is 87104885.

2. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

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 9331 and 9335?

Answer:

Least Common Multiple of 9331 and 9335 = 87104885

Step 1: Find the prime factorization of 9331

9331 = 7 x 31 x 43

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 = 87104885 = 5 x 7 x 31 x 43 x 1867

Step 4: Therefore, the least common multiple of 9331 and 9335 is 87104885.