Least Common Multiple of 3343 and 3349

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 3349 the smallest integer that is 11195707 that is divisible by both numbers.

Least Common Multiple (LCM) of 3343 and 3349 is 11195707.

LCM(3343,3349) = 11195707

LCM of 3343 and 3349

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

LCM of:
and

Least Common Multiple of 3343 and 3349

LCM of 3343 and 3349 is 11195707

Least common multiple can be found by multiplying the highest exponent prime factors of 3343 and 3349. First we will calculate the prime factors of 3343 and 3349.

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 3349


17 3349
197 197
1

Prime factors of 3349 are 17,197. Prime factorization of 3349 in exponential form is:

3349 = 171×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 3343 and 3349.

LCM(3343,3349) = 171×1971×33431
LCM(3343,3349) = 11195707

Factors of 3343

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

1, 3343

Factors of 3349

List of positive integer factors of 3349 that divides 3349 without a remainder.

1, 17, 197, 3349

Least Common Multiple of 3343 and 3349 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 3349, than apply into the LCM equation.

GCF(3343,3349) = 1
LCM(3343,3349) = ( 3343 × 3349) / 1
LCM(3343,3349) = 11195707 / 1
LCM(3343,3349) = 11195707

Properties of LCM 3343 and 3349

(i) The LCM of 3349 and 3343 is associative

LCM of 3343 and 3349 = LCM of 3349 and 3343

Related Least Common Multiples of 3343

Related Least Common Multiples of 3349

Frequently Asked Questions on LCM of 3343 and 3349

1. What is the LCM of 3343 and 3349?

Answer: LCM of 3343 and 3349 is 11195707.

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 3349?

Answer: Factors of 3349 are 1, 17, 197, 3349. There are 4 integers that are factors of 3349. The greatest factor of 3349 is 3349.

4. How to Find the LCM of 3343 and 3349?

Answer:

Least Common Multiple of 3343 and 3349 = 11195707

Step 1: Find the prime factorization of 3343

3343 = 3343

Step 2: Find the prime factorization of 3349

3349 = 17 x 197

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

LCM = 11195707 = 17 x 197 x 3343

Step 4: Therefore, the least common multiple of 3343 and 3349 is 11195707.