Least Common Multiple of 6331 and 6339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6331 and 6339 the smallest integer that is 40132209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6331 and 6339 is 40132209.

LCM(6331,6339) = 40132209

LCM of 6331 and 6339

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

LCM of:
and

Least Common Multiple of 6331 and 6339

LCM of 6331 and 6339 is 40132209

Least common multiple can be found by multiplying the highest exponent prime factors of 6331 and 6339. First we will calculate the prime factors of 6331 and 6339.

Prime Factorization of 6331


13 6331
487 487
1

Prime factors of 6331 are 13,487. Prime factorization of 6331 in exponential form is:

6331 = 131×4871

Prime Factorization of 6339


3 6339
2113 2113
1

Prime factors of 6339 are 3,2113. Prime factorization of 6339 in exponential form is:

6339 = 31×21131

Now multiplying the highest exponent prime factors to calculate the LCM of 6331 and 6339.

LCM(6331,6339) = 31×131×4871×21131
LCM(6331,6339) = 40132209

Factors of 6331

List of positive integer factors of 6331 that divides 6331 without a remainder.

1, 13, 487, 6331

Factors of 6339

List of positive integer factors of 6339 that divides 6339 without a remainder.

1, 3, 2113, 6339

Least Common Multiple of 6331 and 6339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6331 and 6339, than apply into the LCM equation.

GCF(6331,6339) = 1
LCM(6331,6339) = ( 6331 × 6339) / 1
LCM(6331,6339) = 40132209 / 1
LCM(6331,6339) = 40132209

Properties of LCM 6331 and 6339

(i) The LCM of 6339 and 6331 is associative

LCM of 6331 and 6339 = LCM of 6339 and 6331

Related Least Common Multiples of 6331

Related Least Common Multiples of 6339

Frequently Asked Questions on LCM of 6331 and 6339

1. What is the LCM of 6331 and 6339?

Answer: LCM of 6331 and 6339 is 40132209.

2. What are the Factors of 6331?

Answer: Factors of 6331 are 1, 13, 487, 6331. There are 4 integers that are factors of 6331. The greatest factor of 6331 is 6331.

3. What are the Factors of 6339?

Answer: Factors of 6339 are 1, 3, 2113, 6339. There are 4 integers that are factors of 6339. The greatest factor of 6339 is 6339.

4. How to Find the LCM of 6331 and 6339?

Answer:

Least Common Multiple of 6331 and 6339 = 40132209

Step 1: Find the prime factorization of 6331

6331 = 13 x 487

Step 2: Find the prime factorization of 6339

6339 = 3 x 2113

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

LCM = 40132209 = 3 x 13 x 487 x 2113

Step 4: Therefore, the least common multiple of 6331 and 6339 is 40132209.