Least Common Multiple of 6330 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 6330 and 6335 the smallest integer that is 8020110 that is divisible by both numbers.

Least Common Multiple (LCM) of 6330 and 6335 is 8020110.

LCM(6330,6335) = 8020110

LCM of 6330 and 6335

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

LCM of:
and

Least Common Multiple of 6330 and 6335

LCM of 6330 and 6335 is 8020110

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6335. First we will calculate the prime factors of 6330 and 6335.

Prime Factorization of 6330


2 6330
3 3165
5 1055
211 211
1

Prime factors of 6330 are 2, 3, 5,211. Prime factorization of 6330 in exponential form is:

6330 = 21×31×51×2111

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 6330 and 6335.

LCM(6330,6335) = 21×31×51×71×1811×2111
LCM(6330,6335) = 8020110

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330

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 6330 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 6330 and 6335, than apply into the LCM equation.

GCF(6330,6335) = 5
LCM(6330,6335) = ( 6330 × 6335) / 5
LCM(6330,6335) = 40100550 / 5
LCM(6330,6335) = 8020110

Properties of LCM 6330 and 6335

(i) The LCM of 6335 and 6330 is associative

LCM of 6330 and 6335 = LCM of 6335 and 6330

Related Least Common Multiples of 6330

Related Least Common Multiples of 6335

Frequently Asked Questions on LCM of 6330 and 6335

1. What is the LCM of 6330 and 6335?

Answer: LCM of 6330 and 6335 is 8020110.

2. What are the Factors of 6330?

Answer: Factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330. There are 16 integers that are factors of 6330. The greatest factor of 6330 is 6330.

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 6330 and 6335?

Answer:

Least Common Multiple of 6330 and 6335 = 8020110

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

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 = 8020110 = 2 x 3 x 5 x 7 x 181 x 211

Step 4: Therefore, the least common multiple of 6330 and 6335 is 8020110.