Least Common Multiple of 3904 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 3904 and 3911 the smallest integer that is 15268544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3904 and 3911 is 15268544.

LCM(3904,3911) = 15268544

LCM of 3904 and 3911

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

LCM of:
and

Least Common Multiple of 3904 and 3911

LCM of 3904 and 3911 is 15268544

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3911. First we will calculate the prime factors of 3904 and 3911.

Prime Factorization of 3904


2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 3904 are 2,61. Prime factorization of 3904 in exponential form is:

3904 = 26×611

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 3904 and 3911.

LCM(3904,3911) = 26×611×39111
LCM(3904,3911) = 15268544

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

Factors of 3911

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

1, 3911

Least Common Multiple of 3904 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 3904 and 3911, than apply into the LCM equation.

GCF(3904,3911) = 1
LCM(3904,3911) = ( 3904 × 3911) / 1
LCM(3904,3911) = 15268544 / 1
LCM(3904,3911) = 15268544

Properties of LCM 3904 and 3911

(i) The LCM of 3911 and 3904 is associative

LCM of 3904 and 3911 = LCM of 3911 and 3904

Related Least Common Multiples of 3904

Related Least Common Multiples of 3911

Frequently Asked Questions on LCM of 3904 and 3911

1. What is the LCM of 3904 and 3911?

Answer: LCM of 3904 and 3911 is 15268544.

2. What are the Factors of 3904?

Answer: Factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. There are 14 integers that are factors of 3904. The greatest factor of 3904 is 3904.

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 3904 and 3911?

Answer:

Least Common Multiple of 3904 and 3911 = 15268544

Step 1: Find the prime factorization of 3904

3904 = 2 x 2 x 2 x 2 x 2 x 2 x 61

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 = 15268544 = 2 x 2 x 2 x 2 x 2 x 2 x 61 x 3911

Step 4: Therefore, the least common multiple of 3904 and 3911 is 15268544.