Least Common Multiple of 3343 and 3351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3343 and 3351 the smallest integer that is 11202393 that is divisible by both numbers.

Least Common Multiple (LCM) of 3343 and 3351 is 11202393.

LCM(3343,3351) = 11202393

LCM of 3343 and 3351

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

LCM of:
and

Least Common Multiple of 3343 and 3351

LCM of 3343 and 3351 is 11202393

Least common multiple can be found by multiplying the highest exponent prime factors of 3343 and 3351. First we will calculate the prime factors of 3343 and 3351.

Prime Factorization of 3343


3343 3343
1

Prime factors of 3343 are 3343. Prime factorization of 3343 in exponential form is:

3343 = 33431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3343 and 3351.

LCM(3343,3351) = 31×11171×33431
LCM(3343,3351) = 11202393

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1, 3343

Factors of 3351

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

1, 3, 1117, 3351

Least Common Multiple of 3343 and 3351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3343 and 3351, than apply into the LCM equation.

GCF(3343,3351) = 1
LCM(3343,3351) = ( 3343 × 3351) / 1
LCM(3343,3351) = 11202393 / 1
LCM(3343,3351) = 11202393

Properties of LCM 3343 and 3351

(i) The LCM of 3351 and 3343 is associative

LCM of 3343 and 3351 = LCM of 3351 and 3343

Related Least Common Multiples of 3343

Related Least Common Multiples of 3351

Frequently Asked Questions on LCM of 3343 and 3351

1. What is the LCM of 3343 and 3351?

Answer: LCM of 3343 and 3351 is 11202393.

2. What are the Factors of 3343?

Answer: Factors of 3343 are 1, 3343. There are 2 integers that are factors of 3343. The greatest factor of 3343 is 3343.

3. 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.

4. How to Find the LCM of 3343 and 3351?

Answer:

Least Common Multiple of 3343 and 3351 = 11202393

Step 1: Find the prime factorization of 3343

3343 = 3343

Step 2: Find the prime factorization of 3351

3351 = 3 x 1117

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

LCM = 11202393 = 3 x 1117 x 3343

Step 4: Therefore, the least common multiple of 3343 and 3351 is 11202393.