Least Common Multiple of 6344 and 6348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6344 and 6348 the smallest integer that is 10067928 that is divisible by both numbers.

Least Common Multiple (LCM) of 6344 and 6348 is 10067928.

LCM(6344,6348) = 10067928

LCM of 6344 and 6348

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

LCM of:
and

Least Common Multiple of 6344 and 6348

LCM of 6344 and 6348 is 10067928

Least common multiple can be found by multiplying the highest exponent prime factors of 6344 and 6348. First we will calculate the prime factors of 6344 and 6348.

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

Prime Factorization of 6348


2 6348
2 3174
3 1587
23 529
23 23
1

Prime factors of 6348 are 2, 3,23. Prime factorization of 6348 in exponential form is:

6348 = 22×31×232

Now multiplying the highest exponent prime factors to calculate the LCM of 6344 and 6348.

LCM(6344,6348) = 23×31×131×232×611
LCM(6344,6348) = 10067928

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

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348

Least Common Multiple of 6344 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6344 and 6348, than apply into the LCM equation.

GCF(6344,6348) = 4
LCM(6344,6348) = ( 6344 × 6348) / 4
LCM(6344,6348) = 40271712 / 4
LCM(6344,6348) = 10067928

Properties of LCM 6344 and 6348

(i) The LCM of 6348 and 6344 is associative

LCM of 6344 and 6348 = LCM of 6348 and 6344

Related Least Common Multiples of 6344

Related Least Common Multiples of 6348

Frequently Asked Questions on LCM of 6344 and 6348

1. What is the LCM of 6344 and 6348?

Answer: LCM of 6344 and 6348 is 10067928.

2. 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.

3. What are the Factors of 6348?

Answer: Factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348. There are 18 integers that are factors of 6348. The greatest factor of 6348 is 6348.

4. How to Find the LCM of 6344 and 6348?

Answer:

Least Common Multiple of 6344 and 6348 = 10067928

Step 1: Find the prime factorization of 6344

6344 = 2 x 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

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

LCM = 10067928 = 2 x 2 x 2 x 3 x 13 x 23 x 23 x 61

Step 4: Therefore, the least common multiple of 6344 and 6348 is 10067928.