Least Common Multiple of 3399 and 3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3399 and 3404 the smallest integer that is 11570196 that is divisible by both numbers.

Least Common Multiple (LCM) of 3399 and 3404 is 11570196.

LCM(3399,3404) = 11570196

LCM of 3399 and 3404

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

LCM of:
and

Least Common Multiple of 3399 and 3404

LCM of 3399 and 3404 is 11570196

Least common multiple can be found by multiplying the highest exponent prime factors of 3399 and 3404. First we will calculate the prime factors of 3399 and 3404.

Prime Factorization of 3399


3 3399
11 1133
103 103
1

Prime factors of 3399 are 3, 11,103. Prime factorization of 3399 in exponential form is:

3399 = 31×111×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3399 and 3404.

LCM(3399,3404) = 22×31×111×231×371×1031
LCM(3399,3404) = 11570196

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1, 3, 11, 33, 103, 309, 1133, 3399

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

Least Common Multiple of 3399 and 3404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3399 and 3404, than apply into the LCM equation.

GCF(3399,3404) = 1
LCM(3399,3404) = ( 3399 × 3404) / 1
LCM(3399,3404) = 11570196 / 1
LCM(3399,3404) = 11570196

Properties of LCM 3399 and 3404

(i) The LCM of 3404 and 3399 is associative

LCM of 3399 and 3404 = LCM of 3404 and 3399

Frequently Asked Questions on LCM of 3399 and 3404

1. What is the LCM of 3399 and 3404?

Answer: LCM of 3399 and 3404 is 11570196.

2. What are the Factors of 3399?

Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.

3. 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.

4. How to Find the LCM of 3399 and 3404?

Answer:

Least Common Multiple of 3399 and 3404 = 11570196

Step 1: Find the prime factorization of 3399

3399 = 3 x 11 x 103

Step 2: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

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

LCM = 11570196 = 2 x 2 x 3 x 11 x 23 x 37 x 103

Step 4: Therefore, the least common multiple of 3399 and 3404 is 11570196.