Least Common Multiple of 8326 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 8326 and 8330 the smallest integer that is 34677790 that is divisible by both numbers.

Least Common Multiple (LCM) of 8326 and 8330 is 34677790.

LCM(8326,8330) = 34677790

LCM of 8326 and 8330

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

LCM of:
and

Least Common Multiple of 8326 and 8330

LCM of 8326 and 8330 is 34677790

Least common multiple can be found by multiplying the highest exponent prime factors of 8326 and 8330. First we will calculate the prime factors of 8326 and 8330.

Prime Factorization of 8326


2 8326
23 4163
181 181
1

Prime factors of 8326 are 2, 23,181. Prime factorization of 8326 in exponential form is:

8326 = 21×231×1811

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 8326 and 8330.

LCM(8326,8330) = 21×51×72×171×231×1811
LCM(8326,8330) = 34677790

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1, 2, 23, 46, 181, 362, 4163, 8326

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 8326 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 8326 and 8330, than apply into the LCM equation.

GCF(8326,8330) = 2
LCM(8326,8330) = ( 8326 × 8330) / 2
LCM(8326,8330) = 69355580 / 2
LCM(8326,8330) = 34677790

Properties of LCM 8326 and 8330

(i) The LCM of 8330 and 8326 is associative

LCM of 8326 and 8330 = LCM of 8330 and 8326

Related Least Common Multiples of 8326

Related Least Common Multiples of 8330

Frequently Asked Questions on LCM of 8326 and 8330

1. What is the LCM of 8326 and 8330?

Answer: LCM of 8326 and 8330 is 34677790.

2. What are the Factors of 8326?

Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.

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 8326 and 8330?

Answer:

Least Common Multiple of 8326 and 8330 = 34677790

Step 1: Find the prime factorization of 8326

8326 = 2 x 23 x 181

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 = 34677790 = 2 x 5 x 7 x 7 x 17 x 23 x 181

Step 4: Therefore, the least common multiple of 8326 and 8330 is 34677790.