Least Common Multiple of 6335 and 6340

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 6340 the smallest integer that is 8032780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6335 and 6340 is 8032780.

LCM(6335,6340) = 8032780

LCM of 6335 and 6340

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

LCM of:
and

Least Common Multiple of 6335 and 6340

LCM of 6335 and 6340 is 8032780

Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6340. First we will calculate the prime factors of 6335 and 6340.

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 6340


2 6340
2 3170
5 1585
317 317
1

Prime factors of 6340 are 2, 5,317. Prime factorization of 6340 in exponential form is:

6340 = 22×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6340.

LCM(6335,6340) = 22×51×71×1811×3171
LCM(6335,6340) = 8032780

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 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340

Least Common Multiple of 6335 and 6340 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 6340, than apply into the LCM equation.

GCF(6335,6340) = 5
LCM(6335,6340) = ( 6335 × 6340) / 5
LCM(6335,6340) = 40163900 / 5
LCM(6335,6340) = 8032780

Properties of LCM 6335 and 6340

(i) The LCM of 6340 and 6335 is associative

LCM of 6335 and 6340 = LCM of 6340 and 6335

Related Least Common Multiples of 6335

Related Least Common Multiples of 6340

Frequently Asked Questions on LCM of 6335 and 6340

1. What is the LCM of 6335 and 6340?

Answer: LCM of 6335 and 6340 is 8032780.

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 6340?

Answer: Factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340. There are 12 integers that are factors of 6340. The greatest factor of 6340 is 6340.

4. How to Find the LCM of 6335 and 6340?

Answer:

Least Common Multiple of 6335 and 6340 = 8032780

Step 1: Find the prime factorization of 6335

6335 = 5 x 7 x 181

Step 2: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

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

LCM = 8032780 = 2 x 2 x 5 x 7 x 181 x 317

Step 4: Therefore, the least common multiple of 6335 and 6340 is 8032780.