Least Common Multiple of 6343 and 6351

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 6351 the smallest integer that is 40284393 that is divisible by both numbers.

Least Common Multiple (LCM) of 6343 and 6351 is 40284393.

LCM(6343,6351) = 40284393

LCM of 6343 and 6351

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

LCM of:
and

Least Common Multiple of 6343 and 6351

LCM of 6343 and 6351 is 40284393

Least common multiple can be found by multiplying the highest exponent prime factors of 6343 and 6351. First we will calculate the prime factors of 6343 and 6351.

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 6351


3 6351
29 2117
73 73
1

Prime factors of 6351 are 3, 29,73. Prime factorization of 6351 in exponential form is:

6351 = 31×291×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6343 and 6351.

LCM(6343,6351) = 31×291×731×63431
LCM(6343,6351) = 40284393

Factors of 6343

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

1, 6343

Factors of 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1, 3, 29, 73, 87, 219, 2117, 6351

Least Common Multiple of 6343 and 6351 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 6351, than apply into the LCM equation.

GCF(6343,6351) = 1
LCM(6343,6351) = ( 6343 × 6351) / 1
LCM(6343,6351) = 40284393 / 1
LCM(6343,6351) = 40284393

Properties of LCM 6343 and 6351

(i) The LCM of 6351 and 6343 is associative

LCM of 6343 and 6351 = LCM of 6351 and 6343

Related Least Common Multiples of 6343

Related Least Common Multiples of 6351

Frequently Asked Questions on LCM of 6343 and 6351

1. What is the LCM of 6343 and 6351?

Answer: LCM of 6343 and 6351 is 40284393.

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 6351?

Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.

4. How to Find the LCM of 6343 and 6351?

Answer:

Least Common Multiple of 6343 and 6351 = 40284393

Step 1: Find the prime factorization of 6343

6343 = 6343

Step 2: Find the prime factorization of 6351

6351 = 3 x 29 x 73

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

LCM = 40284393 = 3 x 29 x 73 x 6343

Step 4: Therefore, the least common multiple of 6343 and 6351 is 40284393.