Least Common Multiple of 8331 and 8339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8331 and 8339 the smallest integer that is 69472209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8331 and 8339 is 69472209.

LCM(8331,8339) = 69472209

LCM of 8331 and 8339

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

LCM of:
and

Least Common Multiple of 8331 and 8339

LCM of 8331 and 8339 is 69472209

Least common multiple can be found by multiplying the highest exponent prime factors of 8331 and 8339. First we will calculate the prime factors of 8331 and 8339.

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

Prime Factorization of 8339


31 8339
269 269
1

Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:

8339 = 311×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8331 and 8339.

LCM(8331,8339) = 31×311×2691×27771
LCM(8331,8339) = 69472209

Factors of 8331

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

1, 3, 2777, 8331

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1, 31, 269, 8339

Least Common Multiple of 8331 and 8339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8331 and 8339, than apply into the LCM equation.

GCF(8331,8339) = 1
LCM(8331,8339) = ( 8331 × 8339) / 1
LCM(8331,8339) = 69472209 / 1
LCM(8331,8339) = 69472209

Properties of LCM 8331 and 8339

(i) The LCM of 8339 and 8331 is associative

LCM of 8331 and 8339 = LCM of 8339 and 8331

Related Least Common Multiples of 8331

Related Least Common Multiples of 8339

Frequently Asked Questions on LCM of 8331 and 8339

1. What is the LCM of 8331 and 8339?

Answer: LCM of 8331 and 8339 is 69472209.

2. 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.

3. What are the Factors of 8339?

Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.

4. How to Find the LCM of 8331 and 8339?

Answer:

Least Common Multiple of 8331 and 8339 = 69472209

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8339

8339 = 31 x 269

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

LCM = 69472209 = 3 x 31 x 269 x 2777

Step 4: Therefore, the least common multiple of 8331 and 8339 is 69472209.