Least Common Multiple of 6329 and 6335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6329 and 6335 the smallest integer that is 40094215 that is divisible by both numbers.

Least Common Multiple (LCM) of 6329 and 6335 is 40094215.

LCM(6329,6335) = 40094215

LCM of 6329 and 6335

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

LCM of:
and

Least Common Multiple of 6329 and 6335

LCM of 6329 and 6335 is 40094215

Least common multiple can be found by multiplying the highest exponent prime factors of 6329 and 6335. First we will calculate the prime factors of 6329 and 6335.

Prime Factorization of 6329


6329 6329
1

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

6329 = 63291

Prime Factorization of 6335


5 6335
7 1267
181 181
1

Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:

6335 = 51×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6329 and 6335.

LCM(6329,6335) = 51×71×1811×63291
LCM(6329,6335) = 40094215

Factors of 6329

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

1, 6329

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1, 5, 7, 35, 181, 905, 1267, 6335

Least Common Multiple of 6329 and 6335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6329 and 6335, than apply into the LCM equation.

GCF(6329,6335) = 1
LCM(6329,6335) = ( 6329 × 6335) / 1
LCM(6329,6335) = 40094215 / 1
LCM(6329,6335) = 40094215

Properties of LCM 6329 and 6335

(i) The LCM of 6335 and 6329 is associative

LCM of 6329 and 6335 = LCM of 6335 and 6329

Related Least Common Multiples of 6329

Related Least Common Multiples of 6335

Frequently Asked Questions on LCM of 6329 and 6335

1. What is the LCM of 6329 and 6335?

Answer: LCM of 6329 and 6335 is 40094215.

2. 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.

3. What are the Factors of 6335?

Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.

4. How to Find the LCM of 6329 and 6335?

Answer:

Least Common Multiple of 6329 and 6335 = 40094215

Step 1: Find the prime factorization of 6329

6329 = 6329

Step 2: Find the prime factorization of 6335

6335 = 5 x 7 x 181

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

LCM = 40094215 = 5 x 7 x 181 x 6329

Step 4: Therefore, the least common multiple of 6329 and 6335 is 40094215.