Least Common Multiple of 6310 and 6318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6310 and 6318 the smallest integer that is 19933290 that is divisible by both numbers.

Least Common Multiple (LCM) of 6310 and 6318 is 19933290.

LCM(6310,6318) = 19933290

LCM of 6310 and 6318

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

LCM of:
and

Least Common Multiple of 6310 and 6318

LCM of 6310 and 6318 is 19933290

Least common multiple can be found by multiplying the highest exponent prime factors of 6310 and 6318. First we will calculate the prime factors of 6310 and 6318.

Prime Factorization of 6310


2 6310
5 3155
631 631
1

Prime factors of 6310 are 2, 5,631. Prime factorization of 6310 in exponential form is:

6310 = 21×51×6311

Prime Factorization of 6318


2 6318
3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 6318 are 2, 3,13. Prime factorization of 6318 in exponential form is:

6318 = 21×35×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6310 and 6318.

LCM(6310,6318) = 21×35×51×131×6311
LCM(6310,6318) = 19933290

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1, 2, 5, 10, 631, 1262, 3155, 6310

Factors of 6318

List of positive integer factors of 6318 that divides 6318 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318

Least Common Multiple of 6310 and 6318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6310 and 6318, than apply into the LCM equation.

GCF(6310,6318) = 2
LCM(6310,6318) = ( 6310 × 6318) / 2
LCM(6310,6318) = 39866580 / 2
LCM(6310,6318) = 19933290

Properties of LCM 6310 and 6318

(i) The LCM of 6318 and 6310 is associative

LCM of 6310 and 6318 = LCM of 6318 and 6310

Related Least Common Multiples of 6310

Related Least Common Multiples of 6318

Frequently Asked Questions on LCM of 6310 and 6318

1. What is the LCM of 6310 and 6318?

Answer: LCM of 6310 and 6318 is 19933290.

2. What are the Factors of 6310?

Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.

3. What are the Factors of 6318?

Answer: Factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318. There are 24 integers that are factors of 6318. The greatest factor of 6318 is 6318.

4. How to Find the LCM of 6310 and 6318?

Answer:

Least Common Multiple of 6310 and 6318 = 19933290

Step 1: Find the prime factorization of 6310

6310 = 2 x 5 x 631

Step 2: Find the prime factorization of 6318

6318 = 2 x 3 x 3 x 3 x 3 x 3 x 13

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

LCM = 19933290 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 631

Step 4: Therefore, the least common multiple of 6310 and 6318 is 19933290.