Least Common Multiple of 3404 and 3409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3404 and 3409 the smallest integer that is 11604236 that is divisible by both numbers.

Least Common Multiple (LCM) of 3404 and 3409 is 11604236.

LCM(3404,3409) = 11604236

LCM of 3404 and 3409

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

LCM of:
and

Least Common Multiple of 3404 and 3409

LCM of 3404 and 3409 is 11604236

Least common multiple can be found by multiplying the highest exponent prime factors of 3404 and 3409. First we will calculate the prime factors of 3404 and 3409.

Prime Factorization of 3404


2 3404
2 1702
23 851
37 37
1

Prime factors of 3404 are 2, 23,37. Prime factorization of 3404 in exponential form is:

3404 = 22×231×371

Prime Factorization of 3409


7 3409
487 487
1

Prime factors of 3409 are 7,487. Prime factorization of 3409 in exponential form is:

3409 = 71×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 3404 and 3409.

LCM(3404,3409) = 22×71×231×371×4871
LCM(3404,3409) = 11604236

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1, 7, 487, 3409

Least Common Multiple of 3404 and 3409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3404 and 3409, than apply into the LCM equation.

GCF(3404,3409) = 1
LCM(3404,3409) = ( 3404 × 3409) / 1
LCM(3404,3409) = 11604236 / 1
LCM(3404,3409) = 11604236

Properties of LCM 3404 and 3409

(i) The LCM of 3409 and 3404 is associative

LCM of 3404 and 3409 = LCM of 3409 and 3404

Related Least Common Multiples of 3404

Related Least Common Multiples of 3409

Frequently Asked Questions on LCM of 3404 and 3409

1. What is the LCM of 3404 and 3409?

Answer: LCM of 3404 and 3409 is 11604236.

2. What are the Factors of 3404?

Answer: Factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. There are 12 integers that are factors of 3404. The greatest factor of 3404 is 3404.

3. What are the Factors of 3409?

Answer: Factors of 3409 are 1, 7, 487, 3409. There are 4 integers that are factors of 3409. The greatest factor of 3409 is 3409.

4. How to Find the LCM of 3404 and 3409?

Answer:

Least Common Multiple of 3404 and 3409 = 11604236

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3409

3409 = 7 x 487

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

LCM = 11604236 = 2 x 2 x 7 x 23 x 37 x 487

Step 4: Therefore, the least common multiple of 3404 and 3409 is 11604236.