Least Common Multiple of 6344 and 6352

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 6352 the smallest integer that is 5037136 that is divisible by both numbers.

Least Common Multiple (LCM) of 6344 and 6352 is 5037136.

LCM(6344,6352) = 5037136

LCM of 6344 and 6352

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

LCM of:
and

Least Common Multiple of 6344 and 6352

LCM of 6344 and 6352 is 5037136

Least common multiple can be found by multiplying the highest exponent prime factors of 6344 and 6352. First we will calculate the prime factors of 6344 and 6352.

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 6352


2 6352
2 3176
2 1588
2 794
397 397
1

Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:

6352 = 24×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 6344 and 6352.

LCM(6344,6352) = 24×131×611×3971
LCM(6344,6352) = 5037136

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 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352

Least Common Multiple of 6344 and 6352 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 6352, than apply into the LCM equation.

GCF(6344,6352) = 8
LCM(6344,6352) = ( 6344 × 6352) / 8
LCM(6344,6352) = 40297088 / 8
LCM(6344,6352) = 5037136

Properties of LCM 6344 and 6352

(i) The LCM of 6352 and 6344 is associative

LCM of 6344 and 6352 = LCM of 6352 and 6344

Related Least Common Multiples of 6344

Related Least Common Multiples of 6352

Frequently Asked Questions on LCM of 6344 and 6352

1. What is the LCM of 6344 and 6352?

Answer: LCM of 6344 and 6352 is 5037136.

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 6352?

Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.

4. How to Find the LCM of 6344 and 6352?

Answer:

Least Common Multiple of 6344 and 6352 = 5037136

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 6352

6352 = 2 x 2 x 2 x 2 x 397

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

LCM = 5037136 = 2 x 2 x 2 x 2 x 13 x 61 x 397

Step 4: Therefore, the least common multiple of 6344 and 6352 is 5037136.