Least Common Multiple of 6316 and 6321

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 6321 the smallest integer that is 39923436 that is divisible by both numbers.

Least Common Multiple (LCM) of 6316 and 6321 is 39923436.

LCM(6316,6321) = 39923436

LCM of 6316 and 6321

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

LCM of:
and

Least Common Multiple of 6316 and 6321

LCM of 6316 and 6321 is 39923436

Least common multiple can be found by multiplying the highest exponent prime factors of 6316 and 6321. First we will calculate the prime factors of 6316 and 6321.

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 6321


3 6321
7 2107
7 301
43 43
1

Prime factors of 6321 are 3, 7,43. Prime factorization of 6321 in exponential form is:

6321 = 31×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6316 and 6321.

LCM(6316,6321) = 22×31×72×431×15791
LCM(6316,6321) = 39923436

Factors of 6316

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

1, 2, 4, 1579, 3158, 6316

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

Least Common Multiple of 6316 and 6321 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 6321, than apply into the LCM equation.

GCF(6316,6321) = 1
LCM(6316,6321) = ( 6316 × 6321) / 1
LCM(6316,6321) = 39923436 / 1
LCM(6316,6321) = 39923436

Properties of LCM 6316 and 6321

(i) The LCM of 6321 and 6316 is associative

LCM of 6316 and 6321 = LCM of 6321 and 6316

Related Least Common Multiples of 6316

Related Least Common Multiples of 6321

Frequently Asked Questions on LCM of 6316 and 6321

1. What is the LCM of 6316 and 6321?

Answer: LCM of 6316 and 6321 is 39923436.

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 6321?

Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.

4. How to Find the LCM of 6316 and 6321?

Answer:

Least Common Multiple of 6316 and 6321 = 39923436

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

Step 2: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

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

LCM = 39923436 = 2 x 2 x 3 x 7 x 7 x 43 x 1579

Step 4: Therefore, the least common multiple of 6316 and 6321 is 39923436.