Least Common Multiple of 3389 and 3396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3389 and 3396 the smallest integer that is 11509044 that is divisible by both numbers.

Least Common Multiple (LCM) of 3389 and 3396 is 11509044.

LCM(3389,3396) = 11509044

LCM of 3389 and 3396

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

LCM of:
and

Least Common Multiple of 3389 and 3396

LCM of 3389 and 3396 is 11509044

Least common multiple can be found by multiplying the highest exponent prime factors of 3389 and 3396. First we will calculate the prime factors of 3389 and 3396.

Prime Factorization of 3389


3389 3389
1

Prime factors of 3389 are 3389. Prime factorization of 3389 in exponential form is:

3389 = 33891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3389 and 3396.

LCM(3389,3396) = 22×31×2831×33891
LCM(3389,3396) = 11509044

Factors of 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1, 3389

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

Least Common Multiple of 3389 and 3396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3389 and 3396, than apply into the LCM equation.

GCF(3389,3396) = 1
LCM(3389,3396) = ( 3389 × 3396) / 1
LCM(3389,3396) = 11509044 / 1
LCM(3389,3396) = 11509044

Properties of LCM 3389 and 3396

(i) The LCM of 3396 and 3389 is associative

LCM of 3389 and 3396 = LCM of 3396 and 3389

Related Least Common Multiples of 3389

Related Least Common Multiples of 3396

Frequently Asked Questions on LCM of 3389 and 3396

1. What is the LCM of 3389 and 3396?

Answer: LCM of 3389 and 3396 is 11509044.

2. What are the Factors of 3389?

Answer: Factors of 3389 are 1, 3389. There are 2 integers that are factors of 3389. The greatest factor of 3389 is 3389.

3. 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.

4. How to Find the LCM of 3389 and 3396?

Answer:

Least Common Multiple of 3389 and 3396 = 11509044

Step 1: Find the prime factorization of 3389

3389 = 3389

Step 2: Find the prime factorization of 3396

3396 = 2 x 2 x 3 x 283

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

LCM = 11509044 = 2 x 2 x 3 x 283 x 3389

Step 4: Therefore, the least common multiple of 3389 and 3396 is 11509044.