Least Common Multiple of 6352 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 6352 and 6356 the smallest integer that is 10093328 that is divisible by both numbers.

Least Common Multiple (LCM) of 6352 and 6356 is 10093328.

LCM(6352,6356) = 10093328

LCM of 6352 and 6356

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

LCM of:
and

Least Common Multiple of 6352 and 6356

LCM of 6352 and 6356 is 10093328

Least common multiple can be found by multiplying the highest exponent prime factors of 6352 and 6356. First we will calculate the prime factors of 6352 and 6356.

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

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 6352 and 6356.

LCM(6352,6356) = 24×71×2271×3971
LCM(6352,6356) = 10093328

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

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 6352 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 6352 and 6356, than apply into the LCM equation.

GCF(6352,6356) = 4
LCM(6352,6356) = ( 6352 × 6356) / 4
LCM(6352,6356) = 40373312 / 4
LCM(6352,6356) = 10093328

Properties of LCM 6352 and 6356

(i) The LCM of 6356 and 6352 is associative

LCM of 6352 and 6356 = LCM of 6356 and 6352

Related Least Common Multiples of 6352

Related Least Common Multiples of 6356

Frequently Asked Questions on LCM of 6352 and 6356

1. What is the LCM of 6352 and 6356?

Answer: LCM of 6352 and 6356 is 10093328.

2. 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.

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 6352 and 6356?

Answer:

Least Common Multiple of 6352 and 6356 = 10093328

Step 1: Find the prime factorization of 6352

6352 = 2 x 2 x 2 x 2 x 397

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 = 10093328 = 2 x 2 x 2 x 2 x 7 x 227 x 397

Step 4: Therefore, the least common multiple of 6352 and 6356 is 10093328.