Least Common Multiple of 3343 and 3348

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 3348 the smallest integer that is 11192364 that is divisible by both numbers.

Least Common Multiple (LCM) of 3343 and 3348 is 11192364.

LCM(3343,3348) = 11192364

LCM of 3343 and 3348

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

LCM of:
and

Least Common Multiple of 3343 and 3348

LCM of 3343 and 3348 is 11192364

Least common multiple can be found by multiplying the highest exponent prime factors of 3343 and 3348. First we will calculate the prime factors of 3343 and 3348.

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 3348


2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 3348 are 2, 3,31. Prime factorization of 3348 in exponential form is:

3348 = 22×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3343 and 3348.

LCM(3343,3348) = 22×33×311×33431
LCM(3343,3348) = 11192364

Factors of 3343

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

1, 3343

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348

Least Common Multiple of 3343 and 3348 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 3348, than apply into the LCM equation.

GCF(3343,3348) = 1
LCM(3343,3348) = ( 3343 × 3348) / 1
LCM(3343,3348) = 11192364 / 1
LCM(3343,3348) = 11192364

Properties of LCM 3343 and 3348

(i) The LCM of 3348 and 3343 is associative

LCM of 3343 and 3348 = LCM of 3348 and 3343

Related Least Common Multiples of 3343

Related Least Common Multiples of 3348

Frequently Asked Questions on LCM of 3343 and 3348

1. What is the LCM of 3343 and 3348?

Answer: LCM of 3343 and 3348 is 11192364.

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 3348?

Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.

4. How to Find the LCM of 3343 and 3348?

Answer:

Least Common Multiple of 3343 and 3348 = 11192364

Step 1: Find the prime factorization of 3343

3343 = 3343

Step 2: Find the prime factorization of 3348

3348 = 2 x 2 x 3 x 3 x 3 x 31

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

LCM = 11192364 = 2 x 2 x 3 x 3 x 3 x 31 x 3343

Step 4: Therefore, the least common multiple of 3343 and 3348 is 11192364.