Least Common Multiple of 3396 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 3396 and 3404 the smallest integer that is 2889996 that is divisible by both numbers.

Least Common Multiple (LCM) of 3396 and 3404 is 2889996.

LCM(3396,3404) = 2889996

LCM of 3396 and 3404

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

LCM of:
and

Least Common Multiple of 3396 and 3404

LCM of 3396 and 3404 is 2889996

Least common multiple can be found by multiplying the highest exponent prime factors of 3396 and 3404. First we will calculate the prime factors of 3396 and 3404.

Prime Factorization of 3396


2 3396
2 1698
3 849
283 283
1

Prime factors of 3396 are 2, 3,283. Prime factorization of 3396 in exponential form is:

3396 = 22×31×2831

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 3396 and 3404.

LCM(3396,3404) = 22×31×231×371×2831
LCM(3396,3404) = 2889996

Factors of 3396

List of positive integer factors of 3396 that divides 3396 without a remainder.

1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396

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 3396 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 3396 and 3404, than apply into the LCM equation.

GCF(3396,3404) = 4
LCM(3396,3404) = ( 3396 × 3404) / 4
LCM(3396,3404) = 11559984 / 4
LCM(3396,3404) = 2889996

Properties of LCM 3396 and 3404

(i) The LCM of 3404 and 3396 is associative

LCM of 3396 and 3404 = LCM of 3404 and 3396

Related Least Common Multiples of 3396

Related Least Common Multiples of 3404

Frequently Asked Questions on LCM of 3396 and 3404

1. What is the LCM of 3396 and 3404?

Answer: LCM of 3396 and 3404 is 2889996.

2. What are the Factors of 3396?

Answer: Factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396. There are 12 integers that are factors of 3396. The greatest factor of 3396 is 3396.

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 3396 and 3404?

Answer:

Least Common Multiple of 3396 and 3404 = 2889996

Step 1: Find the prime factorization of 3396

3396 = 2 x 2 x 3 x 283

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 = 2889996 = 2 x 2 x 3 x 23 x 37 x 283

Step 4: Therefore, the least common multiple of 3396 and 3404 is 2889996.