Least Common Multiple of 3381 and 3387

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 3387 the smallest integer that is 3817149 that is divisible by both numbers.

Least Common Multiple (LCM) of 3381 and 3387 is 3817149.

LCM(3381,3387) = 3817149

LCM of 3381 and 3387

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

LCM of:
and

Least Common Multiple of 3381 and 3387

LCM of 3381 and 3387 is 3817149

Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3387. First we will calculate the prime factors of 3381 and 3387.

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 3387


3 3387
1129 1129
1

Prime factors of 3387 are 3,1129. Prime factorization of 3387 in exponential form is:

3387 = 31×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3387.

LCM(3381,3387) = 31×72×231×11291
LCM(3381,3387) = 3817149

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 3387

List of positive integer factors of 3387 that divides 3387 without a remainder.

1, 3, 1129, 3387

Least Common Multiple of 3381 and 3387 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 3387, than apply into the LCM equation.

GCF(3381,3387) = 3
LCM(3381,3387) = ( 3381 × 3387) / 3
LCM(3381,3387) = 11451447 / 3
LCM(3381,3387) = 3817149

Properties of LCM 3381 and 3387

(i) The LCM of 3387 and 3381 is associative

LCM of 3381 and 3387 = LCM of 3387 and 3381

Related Least Common Multiples of 3381

Related Least Common Multiples of 3387

Frequently Asked Questions on LCM of 3381 and 3387

1. What is the LCM of 3381 and 3387?

Answer: LCM of 3381 and 3387 is 3817149.

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 3387?

Answer: Factors of 3387 are 1, 3, 1129, 3387. There are 4 integers that are factors of 3387. The greatest factor of 3387 is 3387.

4. How to Find the LCM of 3381 and 3387?

Answer:

Least Common Multiple of 3381 and 3387 = 3817149

Step 1: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 3387

3387 = 3 x 1129

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

LCM = 3817149 = 3 x 7 x 7 x 23 x 1129

Step 4: Therefore, the least common multiple of 3381 and 3387 is 3817149.