Least Common Multiple of 6316 and 6323

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 6323 the smallest integer that is 39936068 that is divisible by both numbers.

Least Common Multiple (LCM) of 6316 and 6323 is 39936068.

LCM(6316,6323) = 39936068

LCM of 6316 and 6323

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

LCM of:
and

Least Common Multiple of 6316 and 6323

LCM of 6316 and 6323 is 39936068

Least common multiple can be found by multiplying the highest exponent prime factors of 6316 and 6323. First we will calculate the prime factors of 6316 and 6323.

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 6323


6323 6323
1

Prime factors of 6323 are 6323. Prime factorization of 6323 in exponential form is:

6323 = 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 6316 and 6323.

LCM(6316,6323) = 22×15791×63231
LCM(6316,6323) = 39936068

Factors of 6316

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

1, 2, 4, 1579, 3158, 6316

Factors of 6323

List of positive integer factors of 6323 that divides 6323 without a remainder.

1, 6323

Least Common Multiple of 6316 and 6323 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 6323, than apply into the LCM equation.

GCF(6316,6323) = 1
LCM(6316,6323) = ( 6316 × 6323) / 1
LCM(6316,6323) = 39936068 / 1
LCM(6316,6323) = 39936068

Properties of LCM 6316 and 6323

(i) The LCM of 6323 and 6316 is associative

LCM of 6316 and 6323 = LCM of 6323 and 6316

Related Least Common Multiples of 6316

Related Least Common Multiples of 6323

Frequently Asked Questions on LCM of 6316 and 6323

1. What is the LCM of 6316 and 6323?

Answer: LCM of 6316 and 6323 is 39936068.

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 6323?

Answer: Factors of 6323 are 1, 6323. There are 2 integers that are factors of 6323. The greatest factor of 6323 is 6323.

4. How to Find the LCM of 6316 and 6323?

Answer:

Least Common Multiple of 6316 and 6323 = 39936068

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

Step 2: Find the prime factorization of 6323

6323 = 6323

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

LCM = 39936068 = 2 x 2 x 1579 x 6323

Step 4: Therefore, the least common multiple of 6316 and 6323 is 39936068.