Least Common Multiple of 6318 and 6322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6318 and 6322 the smallest integer that is 19971198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6318 and 6322 is 19971198.

LCM(6318,6322) = 19971198

LCM of 6318 and 6322

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

LCM of:
and

Least Common Multiple of 6318 and 6322

LCM of 6318 and 6322 is 19971198

Least common multiple can be found by multiplying the highest exponent prime factors of 6318 and 6322. First we will calculate the prime factors of 6318 and 6322.

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

Prime Factorization of 6322


2 6322
29 3161
109 109
1

Prime factors of 6322 are 2, 29,109. Prime factorization of 6322 in exponential form is:

6322 = 21×291×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6318 and 6322.

LCM(6318,6322) = 21×35×131×291×1091
LCM(6318,6322) = 19971198

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

Factors of 6322

List of positive integer factors of 6322 that divides 6322 without a remainder.

1, 2, 29, 58, 109, 218, 3161, 6322

Least Common Multiple of 6318 and 6322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6318 and 6322, than apply into the LCM equation.

GCF(6318,6322) = 2
LCM(6318,6322) = ( 6318 × 6322) / 2
LCM(6318,6322) = 39942396 / 2
LCM(6318,6322) = 19971198

Properties of LCM 6318 and 6322

(i) The LCM of 6322 and 6318 is associative

LCM of 6318 and 6322 = LCM of 6322 and 6318

Related Least Common Multiples of 6318

Related Least Common Multiples of 6322

Frequently Asked Questions on LCM of 6318 and 6322

1. What is the LCM of 6318 and 6322?

Answer: LCM of 6318 and 6322 is 19971198.

2. 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.

3. What are the Factors of 6322?

Answer: Factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322. There are 8 integers that are factors of 6322. The greatest factor of 6322 is 6322.

4. How to Find the LCM of 6318 and 6322?

Answer:

Least Common Multiple of 6318 and 6322 = 19971198

Step 1: Find the prime factorization of 6318

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

Step 2: Find the prime factorization of 6322

6322 = 2 x 29 x 109

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

LCM = 19971198 = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 29 x 109

Step 4: Therefore, the least common multiple of 6318 and 6322 is 19971198.