Least Common Multiple of 6337 and 6341

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 6341 the smallest integer that is 40182917 that is divisible by both numbers.

Least Common Multiple (LCM) of 6337 and 6341 is 40182917.

LCM(6337,6341) = 40182917

LCM of 6337 and 6341

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

LCM of:
and

Least Common Multiple of 6337 and 6341

LCM of 6337 and 6341 is 40182917

Least common multiple can be found by multiplying the highest exponent prime factors of 6337 and 6341. First we will calculate the prime factors of 6337 and 6341.

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 6341


17 6341
373 373
1

Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:

6341 = 171×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 6337 and 6341.

LCM(6337,6341) = 171×3731×63371
LCM(6337,6341) = 40182917

Factors of 6337

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

1, 6337

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1, 17, 373, 6341

Least Common Multiple of 6337 and 6341 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 6341, than apply into the LCM equation.

GCF(6337,6341) = 1
LCM(6337,6341) = ( 6337 × 6341) / 1
LCM(6337,6341) = 40182917 / 1
LCM(6337,6341) = 40182917

Properties of LCM 6337 and 6341

(i) The LCM of 6341 and 6337 is associative

LCM of 6337 and 6341 = LCM of 6341 and 6337

Related Least Common Multiples of 6337

Related Least Common Multiples of 6341

Frequently Asked Questions on LCM of 6337 and 6341

1. What is the LCM of 6337 and 6341?

Answer: LCM of 6337 and 6341 is 40182917.

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 6341?

Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.

4. How to Find the LCM of 6337 and 6341?

Answer:

Least Common Multiple of 6337 and 6341 = 40182917

Step 1: Find the prime factorization of 6337

6337 = 6337

Step 2: Find the prime factorization of 6341

6341 = 17 x 373

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

LCM = 40182917 = 17 x 373 x 6337

Step 4: Therefore, the least common multiple of 6337 and 6341 is 40182917.