Least Common Multiple of 3385 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 3385 and 3389 the smallest integer that is 11471765 that is divisible by both numbers.

Least Common Multiple (LCM) of 3385 and 3389 is 11471765.

LCM(3385,3389) = 11471765

LCM of 3385 and 3389

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

LCM of:
and

Least Common Multiple of 3385 and 3389

LCM of 3385 and 3389 is 11471765

Least common multiple can be found by multiplying the highest exponent prime factors of 3385 and 3389. First we will calculate the prime factors of 3385 and 3389.

Prime Factorization of 3385


5 3385
677 677
1

Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:

3385 = 51×6771

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 3385 and 3389.

LCM(3385,3389) = 51×6771×33891
LCM(3385,3389) = 11471765

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1, 5, 677, 3385

Factors of 3389

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

1, 3389

Least Common Multiple of 3385 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 3385 and 3389, than apply into the LCM equation.

GCF(3385,3389) = 1
LCM(3385,3389) = ( 3385 × 3389) / 1
LCM(3385,3389) = 11471765 / 1
LCM(3385,3389) = 11471765

Properties of LCM 3385 and 3389

(i) The LCM of 3389 and 3385 is associative

LCM of 3385 and 3389 = LCM of 3389 and 3385

Related Least Common Multiples of 3385

Related Least Common Multiples of 3389

Frequently Asked Questions on LCM of 3385 and 3389

1. What is the LCM of 3385 and 3389?

Answer: LCM of 3385 and 3389 is 11471765.

2. What are the Factors of 3385?

Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.

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 3385 and 3389?

Answer:

Least Common Multiple of 3385 and 3389 = 11471765

Step 1: Find the prime factorization of 3385

3385 = 5 x 677

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 = 11471765 = 5 x 677 x 3389

Step 4: Therefore, the least common multiple of 3385 and 3389 is 11471765.