Least Common Multiple of 6343 and 6345

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 6345 the smallest integer that is 40246335 that is divisible by both numbers.

Least Common Multiple (LCM) of 6343 and 6345 is 40246335.

LCM(6343,6345) = 40246335

LCM of 6343 and 6345

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

LCM of:
and

Least Common Multiple of 6343 and 6345

LCM of 6343 and 6345 is 40246335

Least common multiple can be found by multiplying the highest exponent prime factors of 6343 and 6345. First we will calculate the prime factors of 6343 and 6345.

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 6345


3 6345
3 2115
3 705
5 235
47 47
1

Prime factors of 6345 are 3, 5,47. Prime factorization of 6345 in exponential form is:

6345 = 33×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6343 and 6345.

LCM(6343,6345) = 33×51×471×63431
LCM(6343,6345) = 40246335

Factors of 6343

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

1, 6343

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345

Least Common Multiple of 6343 and 6345 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 6345, than apply into the LCM equation.

GCF(6343,6345) = 1
LCM(6343,6345) = ( 6343 × 6345) / 1
LCM(6343,6345) = 40246335 / 1
LCM(6343,6345) = 40246335

Properties of LCM 6343 and 6345

(i) The LCM of 6345 and 6343 is associative

LCM of 6343 and 6345 = LCM of 6345 and 6343

Related Least Common Multiples of 6343

Related Least Common Multiples of 6345

Frequently Asked Questions on LCM of 6343 and 6345

1. What is the LCM of 6343 and 6345?

Answer: LCM of 6343 and 6345 is 40246335.

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 6345?

Answer: Factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345. There are 16 integers that are factors of 6345. The greatest factor of 6345 is 6345.

4. How to Find the LCM of 6343 and 6345?

Answer:

Least Common Multiple of 6343 and 6345 = 40246335

Step 1: Find the prime factorization of 6343

6343 = 6343

Step 2: Find the prime factorization of 6345

6345 = 3 x 3 x 3 x 5 x 47

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

LCM = 40246335 = 3 x 3 x 3 x 5 x 47 x 6343

Step 4: Therefore, the least common multiple of 6343 and 6345 is 40246335.