Least Common Multiple of 3347 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 3347 and 3353 the smallest integer that is 11222491 that is divisible by both numbers.

Least Common Multiple (LCM) of 3347 and 3353 is 11222491.

LCM(3347,3353) = 11222491

LCM of 3347 and 3353

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

LCM of:
and

Least Common Multiple of 3347 and 3353

LCM of 3347 and 3353 is 11222491

Least common multiple can be found by multiplying the highest exponent prime factors of 3347 and 3353. First we will calculate the prime factors of 3347 and 3353.

Prime Factorization of 3347


3347 3347
1

Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:

3347 = 33471

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 3347 and 3353.

LCM(3347,3353) = 71×4791×33471
LCM(3347,3353) = 11222491

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1, 3347

Factors of 3353

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

1, 7, 479, 3353

Least Common Multiple of 3347 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 3347 and 3353, than apply into the LCM equation.

GCF(3347,3353) = 1
LCM(3347,3353) = ( 3347 × 3353) / 1
LCM(3347,3353) = 11222491 / 1
LCM(3347,3353) = 11222491

Properties of LCM 3347 and 3353

(i) The LCM of 3353 and 3347 is associative

LCM of 3347 and 3353 = LCM of 3353 and 3347

Related Least Common Multiples of 3347

Related Least Common Multiples of 3353

Frequently Asked Questions on LCM of 3347 and 3353

1. What is the LCM of 3347 and 3353?

Answer: LCM of 3347 and 3353 is 11222491.

2. What are the Factors of 3347?

Answer: Factors of 3347 are 1, 3347. There are 2 integers that are factors of 3347. The greatest factor of 3347 is 3347.

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 3347 and 3353?

Answer:

Least Common Multiple of 3347 and 3353 = 11222491

Step 1: Find the prime factorization of 3347

3347 = 3347

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 = 11222491 = 7 x 479 x 3347

Step 4: Therefore, the least common multiple of 3347 and 3353 is 11222491.