Least Common Multiple of 6341 and 6343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6341 and 6343 the smallest integer that is 40220963 that is divisible by both numbers.

Least Common Multiple (LCM) of 6341 and 6343 is 40220963.

LCM(6341,6343) = 40220963

LCM of 6341 and 6343

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

LCM of:
and

Least Common Multiple of 6341 and 6343

LCM of 6341 and 6343 is 40220963

Least common multiple can be found by multiplying the highest exponent prime factors of 6341 and 6343. First we will calculate the prime factors of 6341 and 6343.

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

Prime Factorization of 6343


6343 6343
1

Prime factors of 6343 are 6343. Prime factorization of 6343 in exponential form is:

6343 = 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 6341 and 6343.

LCM(6341,6343) = 171×3731×63431
LCM(6341,6343) = 40220963

Factors of 6341

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

1, 17, 373, 6341

Factors of 6343

List of positive integer factors of 6343 that divides 6343 without a remainder.

1, 6343

Least Common Multiple of 6341 and 6343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6341 and 6343, than apply into the LCM equation.

GCF(6341,6343) = 1
LCM(6341,6343) = ( 6341 × 6343) / 1
LCM(6341,6343) = 40220963 / 1
LCM(6341,6343) = 40220963

Properties of LCM 6341 and 6343

(i) The LCM of 6343 and 6341 is associative

LCM of 6341 and 6343 = LCM of 6343 and 6341

Related Least Common Multiples of 6341

Related Least Common Multiples of 6343

Frequently Asked Questions on LCM of 6341 and 6343

1. What is the LCM of 6341 and 6343?

Answer: LCM of 6341 and 6343 is 40220963.

2. 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.

3. What are the Factors of 6343?

Answer: Factors of 6343 are 1, 6343. There are 2 integers that are factors of 6343. The greatest factor of 6343 is 6343.

4. How to Find the LCM of 6341 and 6343?

Answer:

Least Common Multiple of 6341 and 6343 = 40220963

Step 1: Find the prime factorization of 6341

6341 = 17 x 373

Step 2: Find the prime factorization of 6343

6343 = 6343

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

LCM = 40220963 = 17 x 373 x 6343

Step 4: Therefore, the least common multiple of 6341 and 6343 is 40220963.