Least Common Multiple of 3904 and 3909

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 3909 the smallest integer that is 15260736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3904 and 3909 is 15260736.

LCM(3904,3909) = 15260736

LCM of 3904 and 3909

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

LCM of:
and

Least Common Multiple of 3904 and 3909

LCM of 3904 and 3909 is 15260736

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3909. First we will calculate the prime factors of 3904 and 3909.

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 3909


3 3909
1303 1303
1

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

3909 = 31×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 3904 and 3909.

LCM(3904,3909) = 26×31×611×13031
LCM(3904,3909) = 15260736

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 3909

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

1, 3, 1303, 3909

Least Common Multiple of 3904 and 3909 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 3909, than apply into the LCM equation.

GCF(3904,3909) = 1
LCM(3904,3909) = ( 3904 × 3909) / 1
LCM(3904,3909) = 15260736 / 1
LCM(3904,3909) = 15260736

Properties of LCM 3904 and 3909

(i) The LCM of 3909 and 3904 is associative

LCM of 3904 and 3909 = LCM of 3909 and 3904

Related Least Common Multiples of 3904

Related Least Common Multiples of 3909

Frequently Asked Questions on LCM of 3904 and 3909

1. What is the LCM of 3904 and 3909?

Answer: LCM of 3904 and 3909 is 15260736.

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 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.

4. How to Find the LCM of 3904 and 3909?

Answer:

Least Common Multiple of 3904 and 3909 = 15260736

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 3909

3909 = 3 x 1303

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

LCM = 15260736 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61 x 1303

Step 4: Therefore, the least common multiple of 3904 and 3909 is 15260736.