Least Common Multiple of 3351 and 3353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3351 and 3353 the smallest integer that is 11235903 that is divisible by both numbers.

Least Common Multiple (LCM) of 3351 and 3353 is 11235903.

LCM(3351,3353) = 11235903

LCM of 3351 and 3353

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

LCM of:
and

Least Common Multiple of 3351 and 3353

LCM of 3351 and 3353 is 11235903

Least common multiple can be found by multiplying the highest exponent prime factors of 3351 and 3353. First we will calculate the prime factors of 3351 and 3353.

Prime Factorization of 3351


3 3351
1117 1117
1

Prime factors of 3351 are 3,1117. Prime factorization of 3351 in exponential form is:

3351 = 31×11171

Prime Factorization of 3353


7 3353
479 479
1

Prime factors of 3353 are 7,479. Prime factorization of 3353 in exponential form is:

3353 = 71×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 3351 and 3353.

LCM(3351,3353) = 31×71×4791×11171
LCM(3351,3353) = 11235903

Factors of 3351

List of positive integer factors of 3351 that divides 3351 without a remainder.

1, 3, 1117, 3351

Factors of 3353

List of positive integer factors of 3353 that divides 3353 without a remainder.

1, 7, 479, 3353

Least Common Multiple of 3351 and 3353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3351 and 3353, than apply into the LCM equation.

GCF(3351,3353) = 1
LCM(3351,3353) = ( 3351 × 3353) / 1
LCM(3351,3353) = 11235903 / 1
LCM(3351,3353) = 11235903

Properties of LCM 3351 and 3353

(i) The LCM of 3353 and 3351 is associative

LCM of 3351 and 3353 = LCM of 3353 and 3351

Related Least Common Multiples of 3351

Related Least Common Multiples of 3353

Frequently Asked Questions on LCM of 3351 and 3353

1. What is the LCM of 3351 and 3353?

Answer: LCM of 3351 and 3353 is 11235903.

2. What are the Factors of 3351?

Answer: Factors of 3351 are 1, 3, 1117, 3351. There are 4 integers that are factors of 3351. The greatest factor of 3351 is 3351.

3. What are the Factors of 3353?

Answer: Factors of 3353 are 1, 7, 479, 3353. There are 4 integers that are factors of 3353. The greatest factor of 3353 is 3353.

4. How to Find the LCM of 3351 and 3353?

Answer:

Least Common Multiple of 3351 and 3353 = 11235903

Step 1: Find the prime factorization of 3351

3351 = 3 x 1117

Step 2: Find the prime factorization of 3353

3353 = 7 x 479

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

LCM = 11235903 = 3 x 7 x 479 x 1117

Step 4: Therefore, the least common multiple of 3351 and 3353 is 11235903.