Least Common Multiple of 6349 and 6356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6349 and 6356 the smallest integer that is 5764892 that is divisible by both numbers.

Least Common Multiple (LCM) of 6349 and 6356 is 5764892.

LCM(6349,6356) = 5764892

LCM of 6349 and 6356

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

LCM of:
and

Least Common Multiple of 6349 and 6356

LCM of 6349 and 6356 is 5764892

Least common multiple can be found by multiplying the highest exponent prime factors of 6349 and 6356. First we will calculate the prime factors of 6349 and 6356.

Prime Factorization of 6349


7 6349
907 907
1

Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:

6349 = 71×9071

Prime Factorization of 6356


2 6356
2 3178
7 1589
227 227
1

Prime factors of 6356 are 2, 7,227. Prime factorization of 6356 in exponential form is:

6356 = 22×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 6349 and 6356.

LCM(6349,6356) = 22×71×2271×9071
LCM(6349,6356) = 5764892

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1, 7, 907, 6349

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356

Least Common Multiple of 6349 and 6356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6349 and 6356, than apply into the LCM equation.

GCF(6349,6356) = 7
LCM(6349,6356) = ( 6349 × 6356) / 7
LCM(6349,6356) = 40354244 / 7
LCM(6349,6356) = 5764892

Properties of LCM 6349 and 6356

(i) The LCM of 6356 and 6349 is associative

LCM of 6349 and 6356 = LCM of 6356 and 6349

Related Least Common Multiples of 6349

Related Least Common Multiples of 6356

Frequently Asked Questions on LCM of 6349 and 6356

1. What is the LCM of 6349 and 6356?

Answer: LCM of 6349 and 6356 is 5764892.

2. What are the Factors of 6349?

Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.

3. What are the Factors of 6356?

Answer: Factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356. There are 12 integers that are factors of 6356. The greatest factor of 6356 is 6356.

4. How to Find the LCM of 6349 and 6356?

Answer:

Least Common Multiple of 6349 and 6356 = 5764892

Step 1: Find the prime factorization of 6349

6349 = 7 x 907

Step 2: Find the prime factorization of 6356

6356 = 2 x 2 x 7 x 227

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

LCM = 5764892 = 2 x 2 x 7 x 227 x 907

Step 4: Therefore, the least common multiple of 6349 and 6356 is 5764892.