Least Common Multiple of 6330 and 6332

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 6332 the smallest integer that is 20040780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6330 and 6332 is 20040780.

LCM(6330,6332) = 20040780

LCM of 6330 and 6332

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

LCM of:
and

Least Common Multiple of 6330 and 6332

LCM of 6330 and 6332 is 20040780

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6332. First we will calculate the prime factors of 6330 and 6332.

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 6332


2 6332
2 3166
1583 1583
1

Prime factors of 6332 are 2,1583. Prime factorization of 6332 in exponential form is:

6332 = 22×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 6330 and 6332.

LCM(6330,6332) = 22×31×51×2111×15831
LCM(6330,6332) = 20040780

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 6332

List of positive integer factors of 6332 that divides 6332 without a remainder.

1, 2, 4, 1583, 3166, 6332

Least Common Multiple of 6330 and 6332 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 6332, than apply into the LCM equation.

GCF(6330,6332) = 2
LCM(6330,6332) = ( 6330 × 6332) / 2
LCM(6330,6332) = 40081560 / 2
LCM(6330,6332) = 20040780

Properties of LCM 6330 and 6332

(i) The LCM of 6332 and 6330 is associative

LCM of 6330 and 6332 = LCM of 6332 and 6330

Related Least Common Multiples of 6330

Related Least Common Multiples of 6332

Frequently Asked Questions on LCM of 6330 and 6332

1. What is the LCM of 6330 and 6332?

Answer: LCM of 6330 and 6332 is 20040780.

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 6332?

Answer: Factors of 6332 are 1, 2, 4, 1583, 3166, 6332. There are 6 integers that are factors of 6332. The greatest factor of 6332 is 6332.

4. How to Find the LCM of 6330 and 6332?

Answer:

Least Common Multiple of 6330 and 6332 = 20040780

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: Find the prime factorization of 6332

6332 = 2 x 2 x 1583

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

LCM = 20040780 = 2 x 2 x 3 x 5 x 211 x 1583

Step 4: Therefore, the least common multiple of 6330 and 6332 is 20040780.