Least Common Multiple of 6334 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 6334 and 6341 the smallest integer that is 40163894 that is divisible by both numbers.

Least Common Multiple (LCM) of 6334 and 6341 is 40163894.

LCM(6334,6341) = 40163894

LCM of 6334 and 6341

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

LCM of:
and

Least Common Multiple of 6334 and 6341

LCM of 6334 and 6341 is 40163894

Least common multiple can be found by multiplying the highest exponent prime factors of 6334 and 6341. First we will calculate the prime factors of 6334 and 6341.

Prime Factorization of 6334


2 6334
3167 3167
1

Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:

6334 = 21×31671

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 6334 and 6341.

LCM(6334,6341) = 21×171×3731×31671
LCM(6334,6341) = 40163894

Factors of 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1, 2, 3167, 6334

Factors of 6341

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

1, 17, 373, 6341

Least Common Multiple of 6334 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 6334 and 6341, than apply into the LCM equation.

GCF(6334,6341) = 1
LCM(6334,6341) = ( 6334 × 6341) / 1
LCM(6334,6341) = 40163894 / 1
LCM(6334,6341) = 40163894

Properties of LCM 6334 and 6341

(i) The LCM of 6341 and 6334 is associative

LCM of 6334 and 6341 = LCM of 6341 and 6334

Related Least Common Multiples of 6334

Related Least Common Multiples of 6341

Frequently Asked Questions on LCM of 6334 and 6341

1. What is the LCM of 6334 and 6341?

Answer: LCM of 6334 and 6341 is 40163894.

2. What are the Factors of 6334?

Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.

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 6334 and 6341?

Answer:

Least Common Multiple of 6334 and 6341 = 40163894

Step 1: Find the prime factorization of 6334

6334 = 2 x 3167

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 = 40163894 = 2 x 17 x 373 x 3167

Step 4: Therefore, the least common multiple of 6334 and 6341 is 40163894.