Least Common Multiple of 3383 and 3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3383 and 3385 the smallest integer that is 11451455 that is divisible by both numbers.

Least Common Multiple (LCM) of 3383 and 3385 is 11451455.

LCM(3383,3385) = 11451455

LCM of 3383 and 3385

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

LCM of:
and

Least Common Multiple of 3383 and 3385

LCM of 3383 and 3385 is 11451455

Least common multiple can be found by multiplying the highest exponent prime factors of 3383 and 3385. First we will calculate the prime factors of 3383 and 3385.

Prime Factorization of 3383


17 3383
199 199
1

Prime factors of 3383 are 17,199. Prime factorization of 3383 in exponential form is:

3383 = 171×1991

Prime Factorization of 3385


5 3385
677 677
1

Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:

3385 = 51×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 3383 and 3385.

LCM(3383,3385) = 51×171×1991×6771
LCM(3383,3385) = 11451455

Factors of 3383

List of positive integer factors of 3383 that divides 3383 without a remainder.

1, 17, 199, 3383

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1, 5, 677, 3385

Least Common Multiple of 3383 and 3385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3383 and 3385, than apply into the LCM equation.

GCF(3383,3385) = 1
LCM(3383,3385) = ( 3383 × 3385) / 1
LCM(3383,3385) = 11451455 / 1
LCM(3383,3385) = 11451455

Properties of LCM 3383 and 3385

(i) The LCM of 3385 and 3383 is associative

LCM of 3383 and 3385 = LCM of 3385 and 3383

Related Least Common Multiples of 3383

Related Least Common Multiples of 3385

Frequently Asked Questions on LCM of 3383 and 3385

1. What is the LCM of 3383 and 3385?

Answer: LCM of 3383 and 3385 is 11451455.

2. What are the Factors of 3383?

Answer: Factors of 3383 are 1, 17, 199, 3383. There are 4 integers that are factors of 3383. The greatest factor of 3383 is 3383.

3. What are the Factors of 3385?

Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.

4. How to Find the LCM of 3383 and 3385?

Answer:

Least Common Multiple of 3383 and 3385 = 11451455

Step 1: Find the prime factorization of 3383

3383 = 17 x 199

Step 2: Find the prime factorization of 3385

3385 = 5 x 677

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

LCM = 11451455 = 5 x 17 x 199 x 677

Step 4: Therefore, the least common multiple of 3383 and 3385 is 11451455.