Least Common Multiple of 6335 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 6335 and 6343 the smallest integer that is 40182905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6335 and 6343 is 40182905.

LCM(6335,6343) = 40182905

LCM of 6335 and 6343

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

LCM of:
and

Least Common Multiple of 6335 and 6343

LCM of 6335 and 6343 is 40182905

Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6343. First we will calculate the prime factors of 6335 and 6343.

Prime Factorization of 6335


5 6335
7 1267
181 181
1

Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:

6335 = 51×71×1811

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 6335 and 6343.

LCM(6335,6343) = 51×71×1811×63431
LCM(6335,6343) = 40182905

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1, 5, 7, 35, 181, 905, 1267, 6335

Factors of 6343

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

1, 6343

Least Common Multiple of 6335 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 6335 and 6343, than apply into the LCM equation.

GCF(6335,6343) = 1
LCM(6335,6343) = ( 6335 × 6343) / 1
LCM(6335,6343) = 40182905 / 1
LCM(6335,6343) = 40182905

Properties of LCM 6335 and 6343

(i) The LCM of 6343 and 6335 is associative

LCM of 6335 and 6343 = LCM of 6343 and 6335

Related Least Common Multiples of 6335

Related Least Common Multiples of 6343

Frequently Asked Questions on LCM of 6335 and 6343

1. What is the LCM of 6335 and 6343?

Answer: LCM of 6335 and 6343 is 40182905.

2. What are the Factors of 6335?

Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.

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 6335 and 6343?

Answer:

Least Common Multiple of 6335 and 6343 = 40182905

Step 1: Find the prime factorization of 6335

6335 = 5 x 7 x 181

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 = 40182905 = 5 x 7 x 181 x 6343

Step 4: Therefore, the least common multiple of 6335 and 6343 is 40182905.