Least Common Multiple of 3381 and 3386

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 3386 the smallest integer that is 11448066 that is divisible by both numbers.

Least Common Multiple (LCM) of 3381 and 3386 is 11448066.

LCM(3381,3386) = 11448066

LCM of 3381 and 3386

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

LCM of:
and

Least Common Multiple of 3381 and 3386

LCM of 3381 and 3386 is 11448066

Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3386. First we will calculate the prime factors of 3381 and 3386.

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 3386


2 3386
1693 1693
1

Prime factors of 3386 are 2,1693. Prime factorization of 3386 in exponential form is:

3386 = 21×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3386.

LCM(3381,3386) = 21×31×72×231×16931
LCM(3381,3386) = 11448066

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 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1, 2, 1693, 3386

Least Common Multiple of 3381 and 3386 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 3386, than apply into the LCM equation.

GCF(3381,3386) = 1
LCM(3381,3386) = ( 3381 × 3386) / 1
LCM(3381,3386) = 11448066 / 1
LCM(3381,3386) = 11448066

Properties of LCM 3381 and 3386

(i) The LCM of 3386 and 3381 is associative

LCM of 3381 and 3386 = LCM of 3386 and 3381

Related Least Common Multiples of 3381

Related Least Common Multiples of 3386

Frequently Asked Questions on LCM of 3381 and 3386

1. What is the LCM of 3381 and 3386?

Answer: LCM of 3381 and 3386 is 11448066.

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 3386?

Answer: Factors of 3386 are 1, 2, 1693, 3386. There are 4 integers that are factors of 3386. The greatest factor of 3386 is 3386.

4. How to Find the LCM of 3381 and 3386?

Answer:

Least Common Multiple of 3381 and 3386 = 11448066

Step 1: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 3386

3386 = 2 x 1693

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

LCM = 11448066 = 2 x 3 x 7 x 7 x 23 x 1693

Step 4: Therefore, the least common multiple of 3381 and 3386 is 11448066.