Least Common Multiple of 6314 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 6314 and 6322 the smallest integer that is 19958554 that is divisible by both numbers.

Least Common Multiple (LCM) of 6314 and 6322 is 19958554.

LCM(6314,6322) = 19958554

LCM of 6314 and 6322

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

LCM of:
and

Least Common Multiple of 6314 and 6322

LCM of 6314 and 6322 is 19958554

Least common multiple can be found by multiplying the highest exponent prime factors of 6314 and 6322. First we will calculate the prime factors of 6314 and 6322.

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 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 6314 and 6322.

LCM(6314,6322) = 21×71×111×291×411×1091
LCM(6314,6322) = 19958554

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 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 6314 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 6314 and 6322, than apply into the LCM equation.

GCF(6314,6322) = 2
LCM(6314,6322) = ( 6314 × 6322) / 2
LCM(6314,6322) = 39917108 / 2
LCM(6314,6322) = 19958554

Properties of LCM 6314 and 6322

(i) The LCM of 6322 and 6314 is associative

LCM of 6314 and 6322 = LCM of 6322 and 6314

Related Least Common Multiples of 6314

Related Least Common Multiples of 6322

Frequently Asked Questions on LCM of 6314 and 6322

1. What is the LCM of 6314 and 6322?

Answer: LCM of 6314 and 6322 is 19958554.

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 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 6314 and 6322?

Answer:

Least Common Multiple of 6314 and 6322 = 19958554

Step 1: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

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 = 19958554 = 2 x 7 x 11 x 29 x 41 x 109

Step 4: Therefore, the least common multiple of 6314 and 6322 is 19958554.