Least Common Multiple of 3381 and 3382

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 3382 the smallest integer that is 11434542 that is divisible by both numbers.

Least Common Multiple (LCM) of 3381 and 3382 is 11434542.

LCM(3381,3382) = 11434542

LCM of 3381 and 3382

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

LCM of:
and

Least Common Multiple of 3381 and 3382

LCM of 3381 and 3382 is 11434542

Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3382. First we will calculate the prime factors of 3381 and 3382.

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 3382


2 3382
19 1691
89 89
1

Prime factors of 3382 are 2, 19,89. Prime factorization of 3382 in exponential form is:

3382 = 21×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3382.

LCM(3381,3382) = 21×31×72×191×231×891
LCM(3381,3382) = 11434542

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 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1, 2, 19, 38, 89, 178, 1691, 3382

Least Common Multiple of 3381 and 3382 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 3382, than apply into the LCM equation.

GCF(3381,3382) = 1
LCM(3381,3382) = ( 3381 × 3382) / 1
LCM(3381,3382) = 11434542 / 1
LCM(3381,3382) = 11434542

Properties of LCM 3381 and 3382

(i) The LCM of 3382 and 3381 is associative

LCM of 3381 and 3382 = LCM of 3382 and 3381

Related Least Common Multiples of 3381

Related Least Common Multiples of 3382

Frequently Asked Questions on LCM of 3381 and 3382

1. What is the LCM of 3381 and 3382?

Answer: LCM of 3381 and 3382 is 11434542.

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 3382?

Answer: Factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382. There are 8 integers that are factors of 3382. The greatest factor of 3382 is 3382.

4. How to Find the LCM of 3381 and 3382?

Answer:

Least Common Multiple of 3381 and 3382 = 11434542

Step 1: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 3382

3382 = 2 x 19 x 89

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

LCM = 11434542 = 2 x 3 x 7 x 7 x 19 x 23 x 89

Step 4: Therefore, the least common multiple of 3381 and 3382 is 11434542.