Least Common Multiple of 6321 and 6329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6321 and 6329 the smallest integer that is 40005609 that is divisible by both numbers.

Least Common Multiple (LCM) of 6321 and 6329 is 40005609.

LCM(6321,6329) = 40005609

LCM of 6321 and 6329

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

LCM of:
and

Least Common Multiple of 6321 and 6329

LCM of 6321 and 6329 is 40005609

Least common multiple can be found by multiplying the highest exponent prime factors of 6321 and 6329. First we will calculate the prime factors of 6321 and 6329.

Prime Factorization of 6321


3 6321
7 2107
7 301
43 43
1

Prime factors of 6321 are 3, 7,43. Prime factorization of 6321 in exponential form is:

6321 = 31×72×431

Prime Factorization of 6329


6329 6329
1

Prime factors of 6329 are 6329. Prime factorization of 6329 in exponential form is:

6329 = 63291

Now multiplying the highest exponent prime factors to calculate the LCM of 6321 and 6329.

LCM(6321,6329) = 31×72×431×63291
LCM(6321,6329) = 40005609

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

Factors of 6329

List of positive integer factors of 6329 that divides 6329 without a remainder.

1, 6329

Least Common Multiple of 6321 and 6329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6321 and 6329, than apply into the LCM equation.

GCF(6321,6329) = 1
LCM(6321,6329) = ( 6321 × 6329) / 1
LCM(6321,6329) = 40005609 / 1
LCM(6321,6329) = 40005609

Properties of LCM 6321 and 6329

(i) The LCM of 6329 and 6321 is associative

LCM of 6321 and 6329 = LCM of 6329 and 6321

Related Least Common Multiples of 6321

Related Least Common Multiples of 6329

Frequently Asked Questions on LCM of 6321 and 6329

1. What is the LCM of 6321 and 6329?

Answer: LCM of 6321 and 6329 is 40005609.

2. What are the Factors of 6321?

Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.

3. What are the Factors of 6329?

Answer: Factors of 6329 are 1, 6329. There are 2 integers that are factors of 6329. The greatest factor of 6329 is 6329.

4. How to Find the LCM of 6321 and 6329?

Answer:

Least Common Multiple of 6321 and 6329 = 40005609

Step 1: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

Step 2: Find the prime factorization of 6329

6329 = 6329

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

LCM = 40005609 = 3 x 7 x 7 x 43 x 6329

Step 4: Therefore, the least common multiple of 6321 and 6329 is 40005609.