Least Common Multiple of 3305 and 3311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3305 and 3311 the smallest integer that is 10942855 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3311 is 10942855.

LCM(3305,3311) = 10942855

LCM of 3305 and 3311

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

LCM of:
and

Least Common Multiple of 3305 and 3311

LCM of 3305 and 3311 is 10942855

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3311. First we will calculate the prime factors of 3305 and 3311.

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Prime Factorization of 3311


7 3311
11 473
43 43
1

Prime factors of 3311 are 7, 11,43. Prime factorization of 3311 in exponential form is:

3311 = 71×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3311.

LCM(3305,3311) = 51×71×111×431×6611
LCM(3305,3311) = 10942855

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661, 3305

Factors of 3311

List of positive integer factors of 3311 that divides 3311 without a remainder.

1, 7, 11, 43, 77, 301, 473, 3311

Least Common Multiple of 3305 and 3311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3305 and 3311, than apply into the LCM equation.

GCF(3305,3311) = 1
LCM(3305,3311) = ( 3305 × 3311) / 1
LCM(3305,3311) = 10942855 / 1
LCM(3305,3311) = 10942855

Properties of LCM 3305 and 3311

(i) The LCM of 3311 and 3305 is associative

LCM of 3305 and 3311 = LCM of 3311 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3311

Frequently Asked Questions on LCM of 3305 and 3311

1. What is the LCM of 3305 and 3311?

Answer: LCM of 3305 and 3311 is 10942855.

2. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

3. What are the Factors of 3311?

Answer: Factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311. There are 8 integers that are factors of 3311. The greatest factor of 3311 is 3311.

4. How to Find the LCM of 3305 and 3311?

Answer:

Least Common Multiple of 3305 and 3311 = 10942855

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3311

3311 = 7 x 11 x 43

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

LCM = 10942855 = 5 x 7 x 11 x 43 x 661

Step 4: Therefore, the least common multiple of 3305 and 3311 is 10942855.