Least Common Multiple of 3381 and 3389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3381 and 3389 the smallest integer that is 11458209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3381 and 3389 is 11458209.

LCM(3381,3389) = 11458209

LCM of 3381 and 3389

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

LCM of:
and

Least Common Multiple of 3381 and 3389

LCM of 3381 and 3389 is 11458209

Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3389. First we will calculate the prime factors of 3381 and 3389.

Prime Factorization of 3381


3 3381
7 1127
7 161
23 23
1

Prime factors of 3381 are 3, 7,23. Prime factorization of 3381 in exponential form is:

3381 = 31×72×231

Prime Factorization of 3389


3389 3389
1

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

3389 = 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3389.

LCM(3381,3389) = 31×72×231×33891
LCM(3381,3389) = 11458209

Factors of 3381

List of positive integer factors of 3381 that divides 3381 without a remainder.

1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381

Factors of 3389

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

1, 3389

Least Common Multiple of 3381 and 3389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3381 and 3389, than apply into the LCM equation.

GCF(3381,3389) = 1
LCM(3381,3389) = ( 3381 × 3389) / 1
LCM(3381,3389) = 11458209 / 1
LCM(3381,3389) = 11458209

Properties of LCM 3381 and 3389

(i) The LCM of 3389 and 3381 is associative

LCM of 3381 and 3389 = LCM of 3389 and 3381

Related Least Common Multiples of 3381

Related Least Common Multiples of 3389

Frequently Asked Questions on LCM of 3381 and 3389

1. What is the LCM of 3381 and 3389?

Answer: LCM of 3381 and 3389 is 11458209.

2. What are the Factors of 3381?

Answer: Factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. There are 12 integers that are factors of 3381. The greatest factor of 3381 is 3381.

3. 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.

4. How to Find the LCM of 3381 and 3389?

Answer:

Least Common Multiple of 3381 and 3389 = 11458209

Step 1: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 3389

3389 = 3389

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

LCM = 11458209 = 3 x 7 x 7 x 23 x 3389

Step 4: Therefore, the least common multiple of 3381 and 3389 is 11458209.