Least Common Multiple of 8323 and 8330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8323 and 8330 the smallest integer that is 9904370 that is divisible by both numbers.

Least Common Multiple (LCM) of 8323 and 8330 is 9904370.

LCM(8323,8330) = 9904370

LCM of 8323 and 8330

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

LCM of:
and

Least Common Multiple of 8323 and 8330

LCM of 8323 and 8330 is 9904370

Least common multiple can be found by multiplying the highest exponent prime factors of 8323 and 8330. First we will calculate the prime factors of 8323 and 8330.

Prime Factorization of 8323


7 8323
29 1189
41 41
1

Prime factors of 8323 are 7, 29,41. Prime factorization of 8323 in exponential form is:

8323 = 71×291×411

Prime Factorization of 8330


2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 8330 are 2, 5, 7,17. Prime factorization of 8330 in exponential form is:

8330 = 21×51×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8323 and 8330.

LCM(8323,8330) = 21×51×72×171×291×411
LCM(8323,8330) = 9904370

Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1, 7, 29, 41, 203, 287, 1189, 8323

Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330

Least Common Multiple of 8323 and 8330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8323 and 8330, than apply into the LCM equation.

GCF(8323,8330) = 7
LCM(8323,8330) = ( 8323 × 8330) / 7
LCM(8323,8330) = 69330590 / 7
LCM(8323,8330) = 9904370

Properties of LCM 8323 and 8330

(i) The LCM of 8330 and 8323 is associative

LCM of 8323 and 8330 = LCM of 8330 and 8323

Related Least Common Multiples of 8323

Related Least Common Multiples of 8330

Frequently Asked Questions on LCM of 8323 and 8330

1. What is the LCM of 8323 and 8330?

Answer: LCM of 8323 and 8330 is 9904370.

2. What are the Factors of 8323?

Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.

3. What are the Factors of 8330?

Answer: Factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330. There are 24 integers that are factors of 8330. The greatest factor of 8330 is 8330.

4. How to Find the LCM of 8323 and 8330?

Answer:

Least Common Multiple of 8323 and 8330 = 9904370

Step 1: Find the prime factorization of 8323

8323 = 7 x 29 x 41

Step 2: Find the prime factorization of 8330

8330 = 2 x 5 x 7 x 7 x 17

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

LCM = 9904370 = 2 x 5 x 7 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 8323 and 8330 is 9904370.