Least Common Multiple of 3909 and 3917

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 3917 the smallest integer that is 15311553 that is divisible by both numbers.

Least Common Multiple (LCM) of 3909 and 3917 is 15311553.

LCM(3909,3917) = 15311553

LCM of 3909 and 3917

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

LCM of:
and

Least Common Multiple of 3909 and 3917

LCM of 3909 and 3917 is 15311553

Least common multiple can be found by multiplying the highest exponent prime factors of 3909 and 3917. First we will calculate the prime factors of 3909 and 3917.

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 3917


3917 3917
1

Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:

3917 = 39171

Now multiplying the highest exponent prime factors to calculate the LCM of 3909 and 3917.

LCM(3909,3917) = 31×13031×39171
LCM(3909,3917) = 15311553

Factors of 3909

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

1, 3, 1303, 3909

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1, 3917

Least Common Multiple of 3909 and 3917 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 3917, than apply into the LCM equation.

GCF(3909,3917) = 1
LCM(3909,3917) = ( 3909 × 3917) / 1
LCM(3909,3917) = 15311553 / 1
LCM(3909,3917) = 15311553

Properties of LCM 3909 and 3917

(i) The LCM of 3917 and 3909 is associative

LCM of 3909 and 3917 = LCM of 3917 and 3909

Related Least Common Multiples of 3909

Related Least Common Multiples of 3917

Frequently Asked Questions on LCM of 3909 and 3917

1. What is the LCM of 3909 and 3917?

Answer: LCM of 3909 and 3917 is 15311553.

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 3917?

Answer: Factors of 3917 are 1, 3917. There are 2 integers that are factors of 3917. The greatest factor of 3917 is 3917.

4. How to Find the LCM of 3909 and 3917?

Answer:

Least Common Multiple of 3909 and 3917 = 15311553

Step 1: Find the prime factorization of 3909

3909 = 3 x 1303

Step 2: Find the prime factorization of 3917

3917 = 3917

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

LCM = 15311553 = 3 x 1303 x 3917

Step 4: Therefore, the least common multiple of 3909 and 3917 is 15311553.