Least Common Multiple of 3344 and 3345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3344 and 3345 the smallest integer that is 11185680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3344 and 3345 is 11185680.

LCM(3344,3345) = 11185680

LCM of 3344 and 3345

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

LCM of:
and

Least Common Multiple of 3344 and 3345

LCM of 3344 and 3345 is 11185680

Least common multiple can be found by multiplying the highest exponent prime factors of 3344 and 3345. First we will calculate the prime factors of 3344 and 3345.

Prime Factorization of 3344


2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 3344 are 2, 11,19. Prime factorization of 3344 in exponential form is:

3344 = 24×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3344 and 3345.

LCM(3344,3345) = 24×31×51×111×191×2231
LCM(3344,3345) = 11185680

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344

Factors of 3345

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

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

Least Common Multiple of 3344 and 3345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3344 and 3345, than apply into the LCM equation.

GCF(3344,3345) = 1
LCM(3344,3345) = ( 3344 × 3345) / 1
LCM(3344,3345) = 11185680 / 1
LCM(3344,3345) = 11185680

Properties of LCM 3344 and 3345

(i) The LCM of 3345 and 3344 is associative

LCM of 3344 and 3345 = LCM of 3345 and 3344

Related Least Common Multiples of 3344

Related Least Common Multiples of 3345

Frequently Asked Questions on LCM of 3344 and 3345

1. What is the LCM of 3344 and 3345?

Answer: LCM of 3344 and 3345 is 11185680.

2. What are the Factors of 3344?

Answer: Factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344. There are 20 integers that are factors of 3344. The greatest factor of 3344 is 3344.

3. 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.

4. How to Find the LCM of 3344 and 3345?

Answer:

Least Common Multiple of 3344 and 3345 = 11185680

Step 1: Find the prime factorization of 3344

3344 = 2 x 2 x 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 3345

3345 = 3 x 5 x 223

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

LCM = 11185680 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 223

Step 4: Therefore, the least common multiple of 3344 and 3345 is 11185680.