Least Common Multiple of 3346 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 3346 and 3353 the smallest integer that is 1602734 that is divisible by both numbers.

Least Common Multiple (LCM) of 3346 and 3353 is 1602734.

LCM(3346,3353) = 1602734

LCM of 3346 and 3353

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

LCM of:
and

Least Common Multiple of 3346 and 3353

LCM of 3346 and 3353 is 1602734

Least common multiple can be found by multiplying the highest exponent prime factors of 3346 and 3353. First we will calculate the prime factors of 3346 and 3353.

Prime Factorization of 3346


2 3346
7 1673
239 239
1

Prime factors of 3346 are 2, 7,239. Prime factorization of 3346 in exponential form is:

3346 = 21×71×2391

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 3346 and 3353.

LCM(3346,3353) = 21×71×2391×4791
LCM(3346,3353) = 1602734

Factors of 3346

List of positive integer factors of 3346 that divides 3346 without a remainder.

1, 2, 7, 14, 239, 478, 1673, 3346

Factors of 3353

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

1, 7, 479, 3353

Least Common Multiple of 3346 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 3346 and 3353, than apply into the LCM equation.

GCF(3346,3353) = 7
LCM(3346,3353) = ( 3346 × 3353) / 7
LCM(3346,3353) = 11219138 / 7
LCM(3346,3353) = 1602734

Properties of LCM 3346 and 3353

(i) The LCM of 3353 and 3346 is associative

LCM of 3346 and 3353 = LCM of 3353 and 3346

Related Least Common Multiples of 3346

Related Least Common Multiples of 3353

Frequently Asked Questions on LCM of 3346 and 3353

1. What is the LCM of 3346 and 3353?

Answer: LCM of 3346 and 3353 is 1602734.

2. What are the Factors of 3346?

Answer: Factors of 3346 are 1, 2, 7, 14, 239, 478, 1673, 3346. There are 8 integers that are factors of 3346. The greatest factor of 3346 is 3346.

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 3346 and 3353?

Answer:

Least Common Multiple of 3346 and 3353 = 1602734

Step 1: Find the prime factorization of 3346

3346 = 2 x 7 x 239

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 = 1602734 = 2 x 7 x 239 x 479

Step 4: Therefore, the least common multiple of 3346 and 3353 is 1602734.