Least Common Multiple of 6343 and 6349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6343 and 6349 the smallest integer that is 40271707 that is divisible by both numbers.

Least Common Multiple (LCM) of 6343 and 6349 is 40271707.

LCM(6343,6349) = 40271707

LCM of 6343 and 6349

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

LCM of:
and

Least Common Multiple of 6343 and 6349

LCM of 6343 and 6349 is 40271707

Least common multiple can be found by multiplying the highest exponent prime factors of 6343 and 6349. First we will calculate the prime factors of 6343 and 6349.

Prime Factorization of 6343


6343 6343
1

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

6343 = 63431

Prime Factorization of 6349


7 6349
907 907
1

Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:

6349 = 71×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 6343 and 6349.

LCM(6343,6349) = 71×9071×63431
LCM(6343,6349) = 40271707

Factors of 6343

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

1, 6343

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1, 7, 907, 6349

Least Common Multiple of 6343 and 6349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6343 and 6349, than apply into the LCM equation.

GCF(6343,6349) = 1
LCM(6343,6349) = ( 6343 × 6349) / 1
LCM(6343,6349) = 40271707 / 1
LCM(6343,6349) = 40271707

Properties of LCM 6343 and 6349

(i) The LCM of 6349 and 6343 is associative

LCM of 6343 and 6349 = LCM of 6349 and 6343

Related Least Common Multiples of 6343

Related Least Common Multiples of 6349

Frequently Asked Questions on LCM of 6343 and 6349

1. What is the LCM of 6343 and 6349?

Answer: LCM of 6343 and 6349 is 40271707.

2. 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.

3. What are the Factors of 6349?

Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.

4. How to Find the LCM of 6343 and 6349?

Answer:

Least Common Multiple of 6343 and 6349 = 40271707

Step 1: Find the prime factorization of 6343

6343 = 6343

Step 2: Find the prime factorization of 6349

6349 = 7 x 907

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

LCM = 40271707 = 7 x 907 x 6343

Step 4: Therefore, the least common multiple of 6343 and 6349 is 40271707.