Least Common Multiple of 9335 and 9343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9335 and 9343 the smallest integer that is 87216905 that is divisible by both numbers.

Least Common Multiple (LCM) of 9335 and 9343 is 87216905.

LCM(9335,9343) = 87216905

LCM of 9335 and 9343

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

LCM of:
and

Least Common Multiple of 9335 and 9343

LCM of 9335 and 9343 is 87216905

Least common multiple can be found by multiplying the highest exponent prime factors of 9335 and 9343. First we will calculate the prime factors of 9335 and 9343.

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

Prime Factorization of 9343


9343 9343
1

Prime factors of 9343 are 9343. Prime factorization of 9343 in exponential form is:

9343 = 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 9335 and 9343.

LCM(9335,9343) = 51×18671×93431
LCM(9335,9343) = 87216905

Factors of 9335

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

1, 5, 1867, 9335

Factors of 9343

List of positive integer factors of 9343 that divides 9343 without a remainder.

1, 9343

Least Common Multiple of 9335 and 9343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9335 and 9343, than apply into the LCM equation.

GCF(9335,9343) = 1
LCM(9335,9343) = ( 9335 × 9343) / 1
LCM(9335,9343) = 87216905 / 1
LCM(9335,9343) = 87216905

Properties of LCM 9335 and 9343

(i) The LCM of 9343 and 9335 is associative

LCM of 9335 and 9343 = LCM of 9343 and 9335

Related Least Common Multiples of 9335

Related Least Common Multiples of 9343

Frequently Asked Questions on LCM of 9335 and 9343

1. What is the LCM of 9335 and 9343?

Answer: LCM of 9335 and 9343 is 87216905.

2. 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.

3. What are the Factors of 9343?

Answer: Factors of 9343 are 1, 9343. There are 2 integers that are factors of 9343. The greatest factor of 9343 is 9343.

4. How to Find the LCM of 9335 and 9343?

Answer:

Least Common Multiple of 9335 and 9343 = 87216905

Step 1: Find the prime factorization of 9335

9335 = 5 x 1867

Step 2: Find the prime factorization of 9343

9343 = 9343

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

LCM = 87216905 = 5 x 1867 x 9343

Step 4: Therefore, the least common multiple of 9335 and 9343 is 87216905.