Least Common Multiple of 8326 and 8332

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 8332 the smallest integer that is 34686116 that is divisible by both numbers.

Least Common Multiple (LCM) of 8326 and 8332 is 34686116.

LCM(8326,8332) = 34686116

LCM of 8326 and 8332

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

LCM of:
and

Least Common Multiple of 8326 and 8332

LCM of 8326 and 8332 is 34686116

Least common multiple can be found by multiplying the highest exponent prime factors of 8326 and 8332. First we will calculate the prime factors of 8326 and 8332.

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 8332


2 8332
2 4166
2083 2083
1

Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:

8332 = 22×20831

Now multiplying the highest exponent prime factors to calculate the LCM of 8326 and 8332.

LCM(8326,8332) = 22×231×1811×20831
LCM(8326,8332) = 34686116

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 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1, 2, 4, 2083, 4166, 8332

Least Common Multiple of 8326 and 8332 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 8332, than apply into the LCM equation.

GCF(8326,8332) = 2
LCM(8326,8332) = ( 8326 × 8332) / 2
LCM(8326,8332) = 69372232 / 2
LCM(8326,8332) = 34686116

Properties of LCM 8326 and 8332

(i) The LCM of 8332 and 8326 is associative

LCM of 8326 and 8332 = LCM of 8332 and 8326

Related Least Common Multiples of 8326

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8326 and 8332

1. What is the LCM of 8326 and 8332?

Answer: LCM of 8326 and 8332 is 34686116.

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 8332?

Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.

4. How to Find the LCM of 8326 and 8332?

Answer:

Least Common Multiple of 8326 and 8332 = 34686116

Step 1: Find the prime factorization of 8326

8326 = 2 x 23 x 181

Step 2: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

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

LCM = 34686116 = 2 x 2 x 23 x 181 x 2083

Step 4: Therefore, the least common multiple of 8326 and 8332 is 34686116.