Least Common Multiple of 6314 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 6314 and 6318 the smallest integer that is 19945926 that is divisible by both numbers.

Least Common Multiple (LCM) of 6314 and 6318 is 19945926.

LCM(6314,6318) = 19945926

LCM of 6314 and 6318

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

LCM of:
and

Least Common Multiple of 6314 and 6318

LCM of 6314 and 6318 is 19945926

Least common multiple can be found by multiplying the highest exponent prime factors of 6314 and 6318. First we will calculate the prime factors of 6314 and 6318.

Prime Factorization of 6314


2 6314
7 3157
11 451
41 41
1

Prime factors of 6314 are 2, 7, 11,41. Prime factorization of 6314 in exponential form is:

6314 = 21×71×111×411

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 6314 and 6318.

LCM(6314,6318) = 21×35×71×111×131×411
LCM(6314,6318) = 19945926

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314

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 6314 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 6314 and 6318, than apply into the LCM equation.

GCF(6314,6318) = 2
LCM(6314,6318) = ( 6314 × 6318) / 2
LCM(6314,6318) = 39891852 / 2
LCM(6314,6318) = 19945926

Properties of LCM 6314 and 6318

(i) The LCM of 6318 and 6314 is associative

LCM of 6314 and 6318 = LCM of 6318 and 6314

Related Least Common Multiples of 6314

Related Least Common Multiples of 6318

Frequently Asked Questions on LCM of 6314 and 6318

1. What is the LCM of 6314 and 6318?

Answer: LCM of 6314 and 6318 is 19945926.

2. What are the Factors of 6314?

Answer: Factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314. There are 16 integers that are factors of 6314. The greatest factor of 6314 is 6314.

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 6314 and 6318?

Answer:

Least Common Multiple of 6314 and 6318 = 19945926

Step 1: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

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 = 19945926 = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 6314 and 6318 is 19945926.