Least Common Multiple of 6330 and 6334

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 6334 the smallest integer that is 20047110 that is divisible by both numbers.

Least Common Multiple (LCM) of 6330 and 6334 is 20047110.

LCM(6330,6334) = 20047110

LCM of 6330 and 6334

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

LCM of:
and

Least Common Multiple of 6330 and 6334

LCM of 6330 and 6334 is 20047110

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6334. First we will calculate the prime factors of 6330 and 6334.

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 6334


2 6334
3167 3167
1

Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:

6334 = 21×31671

Now multiplying the highest exponent prime factors to calculate the LCM of 6330 and 6334.

LCM(6330,6334) = 21×31×51×2111×31671
LCM(6330,6334) = 20047110

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 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1, 2, 3167, 6334

Least Common Multiple of 6330 and 6334 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 6334, than apply into the LCM equation.

GCF(6330,6334) = 2
LCM(6330,6334) = ( 6330 × 6334) / 2
LCM(6330,6334) = 40094220 / 2
LCM(6330,6334) = 20047110

Properties of LCM 6330 and 6334

(i) The LCM of 6334 and 6330 is associative

LCM of 6330 and 6334 = LCM of 6334 and 6330

Related Least Common Multiples of 6330

Related Least Common Multiples of 6334

Frequently Asked Questions on LCM of 6330 and 6334

1. What is the LCM of 6330 and 6334?

Answer: LCM of 6330 and 6334 is 20047110.

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 6334?

Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.

4. How to Find the LCM of 6330 and 6334?

Answer:

Least Common Multiple of 6330 and 6334 = 20047110

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: Find the prime factorization of 6334

6334 = 2 x 3167

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

LCM = 20047110 = 2 x 3 x 5 x 211 x 3167

Step 4: Therefore, the least common multiple of 6330 and 6334 is 20047110.