Least Common Multiple of 9333 and 9341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9333 and 9341 the smallest integer that is 87179553 that is divisible by both numbers.

Least Common Multiple (LCM) of 9333 and 9341 is 87179553.

LCM(9333,9341) = 87179553

LCM of 9333 and 9341

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

LCM of:
and

Least Common Multiple of 9333 and 9341

LCM of 9333 and 9341 is 87179553

Least common multiple can be found by multiplying the highest exponent prime factors of 9333 and 9341. First we will calculate the prime factors of 9333 and 9341.

Prime Factorization of 9333


3 9333
3 3111
17 1037
61 61
1

Prime factors of 9333 are 3, 17,61. Prime factorization of 9333 in exponential form is:

9333 = 32×171×611

Prime Factorization of 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

Now multiplying the highest exponent prime factors to calculate the LCM of 9333 and 9341.

LCM(9333,9341) = 32×171×611×93411
LCM(9333,9341) = 87179553

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333

Factors of 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1, 9341

Least Common Multiple of 9333 and 9341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9333 and 9341, than apply into the LCM equation.

GCF(9333,9341) = 1
LCM(9333,9341) = ( 9333 × 9341) / 1
LCM(9333,9341) = 87179553 / 1
LCM(9333,9341) = 87179553

Properties of LCM 9333 and 9341

(i) The LCM of 9341 and 9333 is associative

LCM of 9333 and 9341 = LCM of 9341 and 9333

Related Least Common Multiples of 9333

Related Least Common Multiples of 9341

Frequently Asked Questions on LCM of 9333 and 9341

1. What is the LCM of 9333 and 9341?

Answer: LCM of 9333 and 9341 is 87179553.

2. What are the Factors of 9333?

Answer: Factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333. There are 12 integers that are factors of 9333. The greatest factor of 9333 is 9333.

3. What are the Factors of 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

4. How to Find the LCM of 9333 and 9341?

Answer:

Least Common Multiple of 9333 and 9341 = 87179553

Step 1: Find the prime factorization of 9333

9333 = 3 x 3 x 17 x 61

Step 2: Find the prime factorization of 9341

9341 = 9341

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

LCM = 87179553 = 3 x 3 x 17 x 61 x 9341

Step 4: Therefore, the least common multiple of 9333 and 9341 is 87179553.