Least Common Multiple of 3363 and 3367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3363 and 3367 the smallest integer that is 11323221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3363 and 3367 is 11323221.

LCM(3363,3367) = 11323221

LCM of 3363 and 3367

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

LCM of:
and

Least Common Multiple of 3363 and 3367

LCM of 3363 and 3367 is 11323221

Least common multiple can be found by multiplying the highest exponent prime factors of 3363 and 3367. First we will calculate the prime factors of 3363 and 3367.

Prime Factorization of 3363


3 3363
19 1121
59 59
1

Prime factors of 3363 are 3, 19,59. Prime factorization of 3363 in exponential form is:

3363 = 31×191×591

Prime Factorization of 3367


7 3367
13 481
37 37
1

Prime factors of 3367 are 7, 13,37. Prime factorization of 3367 in exponential form is:

3367 = 71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3363 and 3367.

LCM(3363,3367) = 31×71×131×191×371×591
LCM(3363,3367) = 11323221

Factors of 3363

List of positive integer factors of 3363 that divides 3363 without a remainder.

1, 3, 19, 57, 59, 177, 1121, 3363

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1, 7, 13, 37, 91, 259, 481, 3367

Least Common Multiple of 3363 and 3367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3363 and 3367, than apply into the LCM equation.

GCF(3363,3367) = 1
LCM(3363,3367) = ( 3363 × 3367) / 1
LCM(3363,3367) = 11323221 / 1
LCM(3363,3367) = 11323221

Properties of LCM 3363 and 3367

(i) The LCM of 3367 and 3363 is associative

LCM of 3363 and 3367 = LCM of 3367 and 3363

Related Least Common Multiples of 3363

Related Least Common Multiples of 3367

Frequently Asked Questions on LCM of 3363 and 3367

1. What is the LCM of 3363 and 3367?

Answer: LCM of 3363 and 3367 is 11323221.

2. What are the Factors of 3363?

Answer: Factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363. There are 8 integers that are factors of 3363. The greatest factor of 3363 is 3363.

3. What are the Factors of 3367?

Answer: Factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367. There are 8 integers that are factors of 3367. The greatest factor of 3367 is 3367.

4. How to Find the LCM of 3363 and 3367?

Answer:

Least Common Multiple of 3363 and 3367 = 11323221

Step 1: Find the prime factorization of 3363

3363 = 3 x 19 x 59

Step 2: Find the prime factorization of 3367

3367 = 7 x 13 x 37

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

LCM = 11323221 = 3 x 7 x 13 x 19 x 37 x 59

Step 4: Therefore, the least common multiple of 3363 and 3367 is 11323221.