Least Common Multiple of 3363 and 3369

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 3369 the smallest integer that is 3776649 that is divisible by both numbers.

Least Common Multiple (LCM) of 3363 and 3369 is 3776649.

LCM(3363,3369) = 3776649

LCM of 3363 and 3369

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

LCM of:
and

Least Common Multiple of 3363 and 3369

LCM of 3363 and 3369 is 3776649

Least common multiple can be found by multiplying the highest exponent prime factors of 3363 and 3369. First we will calculate the prime factors of 3363 and 3369.

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 3369


3 3369
1123 1123
1

Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:

3369 = 31×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 3363 and 3369.

LCM(3363,3369) = 31×191×591×11231
LCM(3363,3369) = 3776649

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 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1, 3, 1123, 3369

Least Common Multiple of 3363 and 3369 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 3369, than apply into the LCM equation.

GCF(3363,3369) = 3
LCM(3363,3369) = ( 3363 × 3369) / 3
LCM(3363,3369) = 11329947 / 3
LCM(3363,3369) = 3776649

Properties of LCM 3363 and 3369

(i) The LCM of 3369 and 3363 is associative

LCM of 3363 and 3369 = LCM of 3369 and 3363

Related Least Common Multiples of 3363

Related Least Common Multiples of 3369

Frequently Asked Questions on LCM of 3363 and 3369

1. What is the LCM of 3363 and 3369?

Answer: LCM of 3363 and 3369 is 3776649.

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 3369?

Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.

4. How to Find the LCM of 3363 and 3369?

Answer:

Least Common Multiple of 3363 and 3369 = 3776649

Step 1: Find the prime factorization of 3363

3363 = 3 x 19 x 59

Step 2: Find the prime factorization of 3369

3369 = 3 x 1123

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

LCM = 3776649 = 3 x 19 x 59 x 1123

Step 4: Therefore, the least common multiple of 3363 and 3369 is 3776649.