Least Common Multiple of 8326 and 8331

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 8331 the smallest integer that is 69363906 that is divisible by both numbers.

Least Common Multiple (LCM) of 8326 and 8331 is 69363906.

LCM(8326,8331) = 69363906

LCM of 8326 and 8331

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

LCM of:
and

Least Common Multiple of 8326 and 8331

LCM of 8326 and 8331 is 69363906

Least common multiple can be found by multiplying the highest exponent prime factors of 8326 and 8331. First we will calculate the prime factors of 8326 and 8331.

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 8331


3 8331
2777 2777
1

Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:

8331 = 31×27771

Now multiplying the highest exponent prime factors to calculate the LCM of 8326 and 8331.

LCM(8326,8331) = 21×31×231×1811×27771
LCM(8326,8331) = 69363906

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 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1, 3, 2777, 8331

Least Common Multiple of 8326 and 8331 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 8331, than apply into the LCM equation.

GCF(8326,8331) = 1
LCM(8326,8331) = ( 8326 × 8331) / 1
LCM(8326,8331) = 69363906 / 1
LCM(8326,8331) = 69363906

Properties of LCM 8326 and 8331

(i) The LCM of 8331 and 8326 is associative

LCM of 8326 and 8331 = LCM of 8331 and 8326

Related Least Common Multiples of 8326

Related Least Common Multiples of 8331

Frequently Asked Questions on LCM of 8326 and 8331

1. What is the LCM of 8326 and 8331?

Answer: LCM of 8326 and 8331 is 69363906.

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 8331?

Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.

4. How to Find the LCM of 8326 and 8331?

Answer:

Least Common Multiple of 8326 and 8331 = 69363906

Step 1: Find the prime factorization of 8326

8326 = 2 x 23 x 181

Step 2: Find the prime factorization of 8331

8331 = 3 x 2777

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

LCM = 69363906 = 2 x 3 x 23 x 181 x 2777

Step 4: Therefore, the least common multiple of 8326 and 8331 is 69363906.