Least Common Multiple of 6340 and 6344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6340 and 6344 the smallest integer that is 10055240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6340 and 6344 is 10055240.

LCM(6340,6344) = 10055240

LCM of 6340 and 6344

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

LCM of:
and

Least Common Multiple of 6340 and 6344

LCM of 6340 and 6344 is 10055240

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6344. First we will calculate the prime factors of 6340 and 6344.

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

Prime Factorization of 6344


2 6344
2 3172
2 1586
13 793
61 61
1

Prime factors of 6344 are 2, 13,61. Prime factorization of 6344 in exponential form is:

6344 = 23×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6344.

LCM(6340,6344) = 23×51×131×611×3171
LCM(6340,6344) = 10055240

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

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344

Least Common Multiple of 6340 and 6344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6340 and 6344, than apply into the LCM equation.

GCF(6340,6344) = 4
LCM(6340,6344) = ( 6340 × 6344) / 4
LCM(6340,6344) = 40220960 / 4
LCM(6340,6344) = 10055240

Properties of LCM 6340 and 6344

(i) The LCM of 6344 and 6340 is associative

LCM of 6340 and 6344 = LCM of 6344 and 6340

Related Least Common Multiples of 6340

Related Least Common Multiples of 6344

Frequently Asked Questions on LCM of 6340 and 6344

1. What is the LCM of 6340 and 6344?

Answer: LCM of 6340 and 6344 is 10055240.

2. 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.

3. What are the Factors of 6344?

Answer: Factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344. There are 16 integers that are factors of 6344. The greatest factor of 6344 is 6344.

4. How to Find the LCM of 6340 and 6344?

Answer:

Least Common Multiple of 6340 and 6344 = 10055240

Step 1: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

Step 2: Find the prime factorization of 6344

6344 = 2 x 2 x 2 x 13 x 61

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

LCM = 10055240 = 2 x 2 x 2 x 5 x 13 x 61 x 317

Step 4: Therefore, the least common multiple of 6340 and 6344 is 10055240.