Least Common Multiple of 6359 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 6359 and 6364 the smallest integer that is 40468676 that is divisible by both numbers.

Least Common Multiple (LCM) of 6359 and 6364 is 40468676.

LCM(6359,6364) = 40468676

LCM of 6359 and 6364

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

LCM of:
and

Least Common Multiple of 6359 and 6364

LCM of 6359 and 6364 is 40468676

Least common multiple can be found by multiplying the highest exponent prime factors of 6359 and 6364. First we will calculate the prime factors of 6359 and 6364.

Prime Factorization of 6359


6359 6359
1

Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:

6359 = 63591

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 6359 and 6364.

LCM(6359,6364) = 22×371×431×63591
LCM(6359,6364) = 40468676

Factors of 6359

List of positive integer factors of 6359 that divides 6359 without a remainder.

1, 6359

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 6359 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 6359 and 6364, than apply into the LCM equation.

GCF(6359,6364) = 1
LCM(6359,6364) = ( 6359 × 6364) / 1
LCM(6359,6364) = 40468676 / 1
LCM(6359,6364) = 40468676

Properties of LCM 6359 and 6364

(i) The LCM of 6364 and 6359 is associative

LCM of 6359 and 6364 = LCM of 6364 and 6359

Related Least Common Multiples of 6359

Related Least Common Multiples of 6364

Frequently Asked Questions on LCM of 6359 and 6364

1. What is the LCM of 6359 and 6364?

Answer: LCM of 6359 and 6364 is 40468676.

2. What are the Factors of 6359?

Answer: Factors of 6359 are 1, 6359. There are 2 integers that are factors of 6359. The greatest factor of 6359 is 6359.

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 6359 and 6364?

Answer:

Least Common Multiple of 6359 and 6364 = 40468676

Step 1: Find the prime factorization of 6359

6359 = 6359

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 = 40468676 = 2 x 2 x 37 x 43 x 6359

Step 4: Therefore, the least common multiple of 6359 and 6364 is 40468676.