Least Common Multiple of 6358 and 6364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6358 and 6364 the smallest integer that is 20231156 that is divisible by both numbers.

Least Common Multiple (LCM) of 6358 and 6364 is 20231156.

LCM(6358,6364) = 20231156

LCM of 6358 and 6364

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

LCM of:
and

Least Common Multiple of 6358 and 6364

LCM of 6358 and 6364 is 20231156

Least common multiple can be found by multiplying the highest exponent prime factors of 6358 and 6364. First we will calculate the prime factors of 6358 and 6364.

Prime Factorization of 6358


2 6358
11 3179
17 289
17 17
1

Prime factors of 6358 are 2, 11,17. Prime factorization of 6358 in exponential form is:

6358 = 21×111×172

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2, 37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6358 and 6364.

LCM(6358,6364) = 22×111×172×371×431
LCM(6358,6364) = 20231156

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

Least Common Multiple of 6358 and 6364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6358 and 6364, than apply into the LCM equation.

GCF(6358,6364) = 2
LCM(6358,6364) = ( 6358 × 6364) / 2
LCM(6358,6364) = 40462312 / 2
LCM(6358,6364) = 20231156

Properties of LCM 6358 and 6364

(i) The LCM of 6364 and 6358 is associative

LCM of 6358 and 6364 = LCM of 6364 and 6358

Related Least Common Multiples of 6358

Related Least Common Multiples of 6364

Frequently Asked Questions on LCM of 6358 and 6364

1. What is the LCM of 6358 and 6364?

Answer: LCM of 6358 and 6364 is 20231156.

2. What are the Factors of 6358?

Answer: Factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358. There are 12 integers that are factors of 6358. The greatest factor of 6358 is 6358.

3. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

4. How to Find the LCM of 6358 and 6364?

Answer:

Least Common Multiple of 6358 and 6364 = 20231156

Step 1: Find the prime factorization of 6358

6358 = 2 x 11 x 17 x 17

Step 2: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

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

LCM = 20231156 = 2 x 2 x 11 x 17 x 17 x 37 x 43

Step 4: Therefore, the least common multiple of 6358 and 6364 is 20231156.