Least Common Multiple of 6301 and 6309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6301 and 6309 the smallest integer that is 39753009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6301 and 6309 is 39753009.

LCM(6301,6309) = 39753009

LCM of 6301 and 6309

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

LCM of:
and

Least Common Multiple of 6301 and 6309

LCM of 6301 and 6309 is 39753009

Least common multiple can be found by multiplying the highest exponent prime factors of 6301 and 6309. First we will calculate the prime factors of 6301 and 6309.

Prime Factorization of 6301


6301 6301
1

Prime factors of 6301 are 6301. Prime factorization of 6301 in exponential form is:

6301 = 63011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6301 and 6309.

LCM(6301,6309) = 32×7011×63011
LCM(6301,6309) = 39753009

Factors of 6301

List of positive integer factors of 6301 that divides 6301 without a remainder.

1, 6301

Factors of 6309

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

1, 3, 9, 701, 2103, 6309

Least Common Multiple of 6301 and 6309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6301 and 6309, than apply into the LCM equation.

GCF(6301,6309) = 1
LCM(6301,6309) = ( 6301 × 6309) / 1
LCM(6301,6309) = 39753009 / 1
LCM(6301,6309) = 39753009

Properties of LCM 6301 and 6309

(i) The LCM of 6309 and 6301 is associative

LCM of 6301 and 6309 = LCM of 6309 and 6301

Related Least Common Multiples of 6301

Related Least Common Multiples of 6309

Frequently Asked Questions on LCM of 6301 and 6309

1. What is the LCM of 6301 and 6309?

Answer: LCM of 6301 and 6309 is 39753009.

2. What are the Factors of 6301?

Answer: Factors of 6301 are 1, 6301. There are 2 integers that are factors of 6301. The greatest factor of 6301 is 6301.

3. 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.

4. How to Find the LCM of 6301 and 6309?

Answer:

Least Common Multiple of 6301 and 6309 = 39753009

Step 1: Find the prime factorization of 6301

6301 = 6301

Step 2: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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

LCM = 39753009 = 3 x 3 x 701 x 6301

Step 4: Therefore, the least common multiple of 6301 and 6309 is 39753009.