Least Common Multiple of 6337 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 6337 and 6339 the smallest integer that is 40170243 that is divisible by both numbers.

Least Common Multiple (LCM) of 6337 and 6339 is 40170243.

LCM(6337,6339) = 40170243

LCM of 6337 and 6339

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

LCM of:
and

Least Common Multiple of 6337 and 6339

LCM of 6337 and 6339 is 40170243

Least common multiple can be found by multiplying the highest exponent prime factors of 6337 and 6339. First we will calculate the prime factors of 6337 and 6339.

Prime Factorization of 6337


6337 6337
1

Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:

6337 = 63371

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 6337 and 6339.

LCM(6337,6339) = 31×21131×63371
LCM(6337,6339) = 40170243

Factors of 6337

List of positive integer factors of 6337 that divides 6337 without a remainder.

1, 6337

Factors of 6339

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

1, 3, 2113, 6339

Least Common Multiple of 6337 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 6337 and 6339, than apply into the LCM equation.

GCF(6337,6339) = 1
LCM(6337,6339) = ( 6337 × 6339) / 1
LCM(6337,6339) = 40170243 / 1
LCM(6337,6339) = 40170243

Properties of LCM 6337 and 6339

(i) The LCM of 6339 and 6337 is associative

LCM of 6337 and 6339 = LCM of 6339 and 6337

Related Least Common Multiples of 6337

Related Least Common Multiples of 6339

Frequently Asked Questions on LCM of 6337 and 6339

1. What is the LCM of 6337 and 6339?

Answer: LCM of 6337 and 6339 is 40170243.

2. What are the Factors of 6337?

Answer: Factors of 6337 are 1, 6337. There are 2 integers that are factors of 6337. The greatest factor of 6337 is 6337.

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 6337 and 6339?

Answer:

Least Common Multiple of 6337 and 6339 = 40170243

Step 1: Find the prime factorization of 6337

6337 = 6337

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 = 40170243 = 3 x 2113 x 6337

Step 4: Therefore, the least common multiple of 6337 and 6339 is 40170243.