Least Common Multiple of 3345 and 3346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3345 and 3346 the smallest integer that is 11192370 that is divisible by both numbers.

Least Common Multiple (LCM) of 3345 and 3346 is 11192370.

LCM(3345,3346) = 11192370

LCM of 3345 and 3346

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

LCM of:
and

Least Common Multiple of 3345 and 3346

LCM of 3345 and 3346 is 11192370

Least common multiple can be found by multiplying the highest exponent prime factors of 3345 and 3346. First we will calculate the prime factors of 3345 and 3346.

Prime Factorization of 3345


3 3345
5 1115
223 223
1

Prime factors of 3345 are 3, 5,223. Prime factorization of 3345 in exponential form is:

3345 = 31×51×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3345 and 3346.

LCM(3345,3346) = 21×31×51×71×2231×2391
LCM(3345,3346) = 11192370

Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1, 3, 5, 15, 223, 669, 1115, 3345

Factors of 3346

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

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

Least Common Multiple of 3345 and 3346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3345 and 3346, than apply into the LCM equation.

GCF(3345,3346) = 1
LCM(3345,3346) = ( 3345 × 3346) / 1
LCM(3345,3346) = 11192370 / 1
LCM(3345,3346) = 11192370

Properties of LCM 3345 and 3346

(i) The LCM of 3346 and 3345 is associative

LCM of 3345 and 3346 = LCM of 3346 and 3345

Related Least Common Multiples of 3345

Related Least Common Multiples of 3346

Frequently Asked Questions on LCM of 3345 and 3346

1. What is the LCM of 3345 and 3346?

Answer: LCM of 3345 and 3346 is 11192370.

2. What are the Factors of 3345?

Answer: Factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345. There are 8 integers that are factors of 3345. The greatest factor of 3345 is 3345.

3. 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.

4. How to Find the LCM of 3345 and 3346?

Answer:

Least Common Multiple of 3345 and 3346 = 11192370

Step 1: Find the prime factorization of 3345

3345 = 3 x 5 x 223

Step 2: Find the prime factorization of 3346

3346 = 2 x 7 x 239

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

LCM = 11192370 = 2 x 3 x 5 x 7 x 223 x 239

Step 4: Therefore, the least common multiple of 3345 and 3346 is 11192370.