Least Common Multiple of 3909 and 3911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3909 and 3911 the smallest integer that is 15288099 that is divisible by both numbers.

Least Common Multiple (LCM) of 3909 and 3911 is 15288099.

LCM(3909,3911) = 15288099

LCM of 3909 and 3911

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

LCM of:
and

Least Common Multiple of 3909 and 3911

LCM of 3909 and 3911 is 15288099

Least common multiple can be found by multiplying the highest exponent prime factors of 3909 and 3911. First we will calculate the prime factors of 3909 and 3911.

Prime Factorization of 3909


3 3909
1303 1303
1

Prime factors of 3909 are 3,1303. Prime factorization of 3909 in exponential form is:

3909 = 31×13031

Prime Factorization of 3911


3911 3911
1

Prime factors of 3911 are 3911. Prime factorization of 3911 in exponential form is:

3911 = 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 3909 and 3911.

LCM(3909,3911) = 31×13031×39111
LCM(3909,3911) = 15288099

Factors of 3909

List of positive integer factors of 3909 that divides 3909 without a remainder.

1, 3, 1303, 3909

Factors of 3911

List of positive integer factors of 3911 that divides 3911 without a remainder.

1, 3911

Least Common Multiple of 3909 and 3911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3909 and 3911, than apply into the LCM equation.

GCF(3909,3911) = 1
LCM(3909,3911) = ( 3909 × 3911) / 1
LCM(3909,3911) = 15288099 / 1
LCM(3909,3911) = 15288099

Properties of LCM 3909 and 3911

(i) The LCM of 3911 and 3909 is associative

LCM of 3909 and 3911 = LCM of 3911 and 3909

Related Least Common Multiples of 3909

Related Least Common Multiples of 3911

Frequently Asked Questions on LCM of 3909 and 3911

1. What is the LCM of 3909 and 3911?

Answer: LCM of 3909 and 3911 is 15288099.

2. What are the Factors of 3909?

Answer: Factors of 3909 are 1, 3, 1303, 3909. There are 4 integers that are factors of 3909. The greatest factor of 3909 is 3909.

3. What are the Factors of 3911?

Answer: Factors of 3911 are 1, 3911. There are 2 integers that are factors of 3911. The greatest factor of 3911 is 3911.

4. How to Find the LCM of 3909 and 3911?

Answer:

Least Common Multiple of 3909 and 3911 = 15288099

Step 1: Find the prime factorization of 3909

3909 = 3 x 1303

Step 2: Find the prime factorization of 3911

3911 = 3911

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

LCM = 15288099 = 3 x 1303 x 3911

Step 4: Therefore, the least common multiple of 3909 and 3911 is 15288099.