Least Common Multiple of 6336 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 6336 and 6344 the smallest integer that is 5024448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6336 and 6344 is 5024448.

LCM(6336,6344) = 5024448

LCM of 6336 and 6344

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

LCM of:
and

Least Common Multiple of 6336 and 6344

LCM of 6336 and 6344 is 5024448

Least common multiple can be found by multiplying the highest exponent prime factors of 6336 and 6344. First we will calculate the prime factors of 6336 and 6344.

Prime Factorization of 6336


2 6336
2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 6336 are 2, 3,11. Prime factorization of 6336 in exponential form is:

6336 = 26×32×111

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 6336 and 6344.

LCM(6336,6344) = 26×32×111×131×611
LCM(6336,6344) = 5024448

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336

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 6336 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 6336 and 6344, than apply into the LCM equation.

GCF(6336,6344) = 8
LCM(6336,6344) = ( 6336 × 6344) / 8
LCM(6336,6344) = 40195584 / 8
LCM(6336,6344) = 5024448

Properties of LCM 6336 and 6344

(i) The LCM of 6344 and 6336 is associative

LCM of 6336 and 6344 = LCM of 6344 and 6336

Related Least Common Multiples of 6336

Related Least Common Multiples of 6344

Frequently Asked Questions on LCM of 6336 and 6344

1. What is the LCM of 6336 and 6344?

Answer: LCM of 6336 and 6344 is 5024448.

2. What are the Factors of 6336?

Answer: Factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336. There are 42 integers that are factors of 6336. The greatest factor of 6336 is 6336.

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 6336 and 6344?

Answer:

Least Common Multiple of 6336 and 6344 = 5024448

Step 1: Find the prime factorization of 6336

6336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

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 = 5024448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 6336 and 6344 is 5024448.