Least Common Multiple of 3373 and 3381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3373 and 3381 the smallest integer that is 11404113 that is divisible by both numbers.

Least Common Multiple (LCM) of 3373 and 3381 is 11404113.

LCM(3373,3381) = 11404113

LCM of 3373 and 3381

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

LCM of:
and

Least Common Multiple of 3373 and 3381

LCM of 3373 and 3381 is 11404113

Least common multiple can be found by multiplying the highest exponent prime factors of 3373 and 3381. First we will calculate the prime factors of 3373 and 3381.

Prime Factorization of 3373


3373 3373
1

Prime factors of 3373 are 3373. Prime factorization of 3373 in exponential form is:

3373 = 33731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3373 and 3381.

LCM(3373,3381) = 31×72×231×33731
LCM(3373,3381) = 11404113

Factors of 3373

List of positive integer factors of 3373 that divides 3373 without a remainder.

1, 3373

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

Least Common Multiple of 3373 and 3381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3373 and 3381, than apply into the LCM equation.

GCF(3373,3381) = 1
LCM(3373,3381) = ( 3373 × 3381) / 1
LCM(3373,3381) = 11404113 / 1
LCM(3373,3381) = 11404113

Properties of LCM 3373 and 3381

(i) The LCM of 3381 and 3373 is associative

LCM of 3373 and 3381 = LCM of 3381 and 3373

Related Least Common Multiples of 3373

Related Least Common Multiples of 3381

Frequently Asked Questions on LCM of 3373 and 3381

1. What is the LCM of 3373 and 3381?

Answer: LCM of 3373 and 3381 is 11404113.

2. What are the Factors of 3373?

Answer: Factors of 3373 are 1, 3373. There are 2 integers that are factors of 3373. The greatest factor of 3373 is 3373.

3. 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.

4. How to Find the LCM of 3373 and 3381?

Answer:

Least Common Multiple of 3373 and 3381 = 11404113

Step 1: Find the prime factorization of 3373

3373 = 3373

Step 2: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

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

LCM = 11404113 = 3 x 7 x 7 x 23 x 3373

Step 4: Therefore, the least common multiple of 3373 and 3381 is 11404113.