Least Common Multiple of 6324 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 6324 and 6329 the smallest integer that is 40024596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6324 and 6329 is 40024596.

LCM(6324,6329) = 40024596

LCM of 6324 and 6329

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

LCM of:
and

Least Common Multiple of 6324 and 6329

LCM of 6324 and 6329 is 40024596

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6329. First we will calculate the prime factors of 6324 and 6329.

Prime Factorization of 6324


2 6324
2 3162
3 1581
17 527
31 31
1

Prime factors of 6324 are 2, 3, 17,31. Prime factorization of 6324 in exponential form is:

6324 = 22×31×171×311

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 6324 and 6329.

LCM(6324,6329) = 22×31×171×311×63291
LCM(6324,6329) = 40024596

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324

Factors of 6329

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

1, 6329

Least Common Multiple of 6324 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 6324 and 6329, than apply into the LCM equation.

GCF(6324,6329) = 1
LCM(6324,6329) = ( 6324 × 6329) / 1
LCM(6324,6329) = 40024596 / 1
LCM(6324,6329) = 40024596

Properties of LCM 6324 and 6329

(i) The LCM of 6329 and 6324 is associative

LCM of 6324 and 6329 = LCM of 6329 and 6324

Related Least Common Multiples of 6324

Related Least Common Multiples of 6329

Frequently Asked Questions on LCM of 6324 and 6329

1. What is the LCM of 6324 and 6329?

Answer: LCM of 6324 and 6329 is 40024596.

2. What are the Factors of 6324?

Answer: Factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324. There are 24 integers that are factors of 6324. The greatest factor of 6324 is 6324.

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 6324 and 6329?

Answer:

Least Common Multiple of 6324 and 6329 = 40024596

Step 1: Find the prime factorization of 6324

6324 = 2 x 2 x 3 x 17 x 31

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 = 40024596 = 2 x 2 x 3 x 17 x 31 x 6329

Step 4: Therefore, the least common multiple of 6324 and 6329 is 40024596.