Least Common Multiple of 6316 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 6316 and 6322 the smallest integer that is 19964876 that is divisible by both numbers.

Least Common Multiple (LCM) of 6316 and 6322 is 19964876.

LCM(6316,6322) = 19964876

LCM of 6316 and 6322

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

LCM of:
and

Least Common Multiple of 6316 and 6322

LCM of 6316 and 6322 is 19964876

Least common multiple can be found by multiplying the highest exponent prime factors of 6316 and 6322. First we will calculate the prime factors of 6316 and 6322.

Prime Factorization of 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

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 6316 and 6322.

LCM(6316,6322) = 22×291×1091×15791
LCM(6316,6322) = 19964876

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1, 2, 4, 1579, 3158, 6316

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 6316 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 6316 and 6322, than apply into the LCM equation.

GCF(6316,6322) = 2
LCM(6316,6322) = ( 6316 × 6322) / 2
LCM(6316,6322) = 39929752 / 2
LCM(6316,6322) = 19964876

Properties of LCM 6316 and 6322

(i) The LCM of 6322 and 6316 is associative

LCM of 6316 and 6322 = LCM of 6322 and 6316

Related Least Common Multiples of 6316

Related Least Common Multiples of 6322

Frequently Asked Questions on LCM of 6316 and 6322

1. What is the LCM of 6316 and 6322?

Answer: LCM of 6316 and 6322 is 19964876.

2. What are the Factors of 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

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 6316 and 6322?

Answer:

Least Common Multiple of 6316 and 6322 = 19964876

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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 = 19964876 = 2 x 2 x 29 x 109 x 1579

Step 4: Therefore, the least common multiple of 6316 and 6322 is 19964876.