Least Common Multiple of 6356 and 6362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6356 and 6362 the smallest integer that is 20218436 that is divisible by both numbers.

Least Common Multiple (LCM) of 6356 and 6362 is 20218436.

LCM(6356,6362) = 20218436

LCM of 6356 and 6362

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

LCM of:
and

Least Common Multiple of 6356 and 6362

LCM of 6356 and 6362 is 20218436

Least common multiple can be found by multiplying the highest exponent prime factors of 6356 and 6362. First we will calculate the prime factors of 6356 and 6362.

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

Prime Factorization of 6362


2 6362
3181 3181
1

Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:

6362 = 21×31811

Now multiplying the highest exponent prime factors to calculate the LCM of 6356 and 6362.

LCM(6356,6362) = 22×71×2271×31811
LCM(6356,6362) = 20218436

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

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1, 2, 3181, 6362

Least Common Multiple of 6356 and 6362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6356 and 6362, than apply into the LCM equation.

GCF(6356,6362) = 2
LCM(6356,6362) = ( 6356 × 6362) / 2
LCM(6356,6362) = 40436872 / 2
LCM(6356,6362) = 20218436

Properties of LCM 6356 and 6362

(i) The LCM of 6362 and 6356 is associative

LCM of 6356 and 6362 = LCM of 6362 and 6356

Related Least Common Multiples of 6356

Related Least Common Multiples of 6362

Frequently Asked Questions on LCM of 6356 and 6362

1. What is the LCM of 6356 and 6362?

Answer: LCM of 6356 and 6362 is 20218436.

2. 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.

3. What are the Factors of 6362?

Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.

4. How to Find the LCM of 6356 and 6362?

Answer:

Least Common Multiple of 6356 and 6362 = 20218436

Step 1: Find the prime factorization of 6356

6356 = 2 x 2 x 7 x 227

Step 2: Find the prime factorization of 6362

6362 = 2 x 3181

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

LCM = 20218436 = 2 x 2 x 7 x 227 x 3181

Step 4: Therefore, the least common multiple of 6356 and 6362 is 20218436.