Least Common Multiple of 6330 and 6331

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 6331 the smallest integer that is 40075230 that is divisible by both numbers.

Least Common Multiple (LCM) of 6330 and 6331 is 40075230.

LCM(6330,6331) = 40075230

LCM of 6330 and 6331

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

LCM of:
and

Least Common Multiple of 6330 and 6331

LCM of 6330 and 6331 is 40075230

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6331. First we will calculate the prime factors of 6330 and 6331.

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 6331


13 6331
487 487
1

Prime factors of 6331 are 13,487. Prime factorization of 6331 in exponential form is:

6331 = 131×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 6330 and 6331.

LCM(6330,6331) = 21×31×51×131×2111×4871
LCM(6330,6331) = 40075230

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 6331

List of positive integer factors of 6331 that divides 6331 without a remainder.

1, 13, 487, 6331

Least Common Multiple of 6330 and 6331 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 6331, than apply into the LCM equation.

GCF(6330,6331) = 1
LCM(6330,6331) = ( 6330 × 6331) / 1
LCM(6330,6331) = 40075230 / 1
LCM(6330,6331) = 40075230

Properties of LCM 6330 and 6331

(i) The LCM of 6331 and 6330 is associative

LCM of 6330 and 6331 = LCM of 6331 and 6330

Related Least Common Multiples of 6330

Related Least Common Multiples of 6331

Frequently Asked Questions on LCM of 6330 and 6331

1. What is the LCM of 6330 and 6331?

Answer: LCM of 6330 and 6331 is 40075230.

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 6331?

Answer: Factors of 6331 are 1, 13, 487, 6331. There are 4 integers that are factors of 6331. The greatest factor of 6331 is 6331.

4. How to Find the LCM of 6330 and 6331?

Answer:

Least Common Multiple of 6330 and 6331 = 40075230

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: Find the prime factorization of 6331

6331 = 13 x 487

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

LCM = 40075230 = 2 x 3 x 5 x 13 x 211 x 487

Step 4: Therefore, the least common multiple of 6330 and 6331 is 40075230.