Least Common Multiple of 6309 and 6316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6309 and 6316 the smallest integer that is 39847644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6309 and 6316 is 39847644.

LCM(6309,6316) = 39847644

LCM of 6309 and 6316

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

LCM of:
and

Least Common Multiple of 6309 and 6316

LCM of 6309 and 6316 is 39847644

Least common multiple can be found by multiplying the highest exponent prime factors of 6309 and 6316. First we will calculate the prime factors of 6309 and 6316.

Prime Factorization of 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6309 and 6316.

LCM(6309,6316) = 22×32×7011×15791
LCM(6309,6316) = 39847644

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1, 3, 9, 701, 2103, 6309

Factors of 6316

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

1, 2, 4, 1579, 3158, 6316

Least Common Multiple of 6309 and 6316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6309 and 6316, than apply into the LCM equation.

GCF(6309,6316) = 1
LCM(6309,6316) = ( 6309 × 6316) / 1
LCM(6309,6316) = 39847644 / 1
LCM(6309,6316) = 39847644

Properties of LCM 6309 and 6316

(i) The LCM of 6316 and 6309 is associative

LCM of 6309 and 6316 = LCM of 6316 and 6309

Related Least Common Multiples of 6309

Related Least Common Multiples of 6316

Frequently Asked Questions on LCM of 6309 and 6316

1. What is the LCM of 6309 and 6316?

Answer: LCM of 6309 and 6316 is 39847644.

2. What are the Factors of 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

3. 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.

4. How to Find the LCM of 6309 and 6316?

Answer:

Least Common Multiple of 6309 and 6316 = 39847644

Step 1: Find the prime factorization of 6309

6309 = 3 x 3 x 701

Step 2: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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

LCM = 39847644 = 2 x 2 x 3 x 3 x 701 x 1579

Step 4: Therefore, the least common multiple of 6309 and 6316 is 39847644.