Least Common Multiple of 6309 and 6314

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 6314 the smallest integer that is 39835026 that is divisible by both numbers.

Least Common Multiple (LCM) of 6309 and 6314 is 39835026.

LCM(6309,6314) = 39835026

LCM of 6309 and 6314

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

LCM of:
and

Least Common Multiple of 6309 and 6314

LCM of 6309 and 6314 is 39835026

Least common multiple can be found by multiplying the highest exponent prime factors of 6309 and 6314. First we will calculate the prime factors of 6309 and 6314.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6309 and 6314.

LCM(6309,6314) = 21×32×71×111×411×7011
LCM(6309,6314) = 39835026

Factors of 6309

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

1, 3, 9, 701, 2103, 6309

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

Least Common Multiple of 6309 and 6314 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 6314, than apply into the LCM equation.

GCF(6309,6314) = 1
LCM(6309,6314) = ( 6309 × 6314) / 1
LCM(6309,6314) = 39835026 / 1
LCM(6309,6314) = 39835026

Properties of LCM 6309 and 6314

(i) The LCM of 6314 and 6309 is associative

LCM of 6309 and 6314 = LCM of 6314 and 6309

Related Least Common Multiples of 6309

Related Least Common Multiples of 6314

Frequently Asked Questions on LCM of 6309 and 6314

1. What is the LCM of 6309 and 6314?

Answer: LCM of 6309 and 6314 is 39835026.

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 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.

4. How to Find the LCM of 6309 and 6314?

Answer:

Least Common Multiple of 6309 and 6314 = 39835026

Step 1: Find the prime factorization of 6309

6309 = 3 x 3 x 701

Step 2: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

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

LCM = 39835026 = 2 x 3 x 3 x 7 x 11 x 41 x 701

Step 4: Therefore, the least common multiple of 6309 and 6314 is 39835026.