Least Common Multiple of 3307 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 3307 and 3311 the smallest integer that is 10949477 that is divisible by both numbers.

Least Common Multiple (LCM) of 3307 and 3311 is 10949477.

LCM(3307,3311) = 10949477

LCM of 3307 and 3311

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

LCM of:
and

Least Common Multiple of 3307 and 3311

LCM of 3307 and 3311 is 10949477

Least common multiple can be found by multiplying the highest exponent prime factors of 3307 and 3311. First we will calculate the prime factors of 3307 and 3311.

Prime Factorization of 3307


3307 3307
1

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

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 3307 and 3311.

LCM(3307,3311) = 71×111×431×33071
LCM(3307,3311) = 10949477

Factors of 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1, 3307

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 3307 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 3307 and 3311, than apply into the LCM equation.

GCF(3307,3311) = 1
LCM(3307,3311) = ( 3307 × 3311) / 1
LCM(3307,3311) = 10949477 / 1
LCM(3307,3311) = 10949477

Properties of LCM 3307 and 3311

(i) The LCM of 3311 and 3307 is associative

LCM of 3307 and 3311 = LCM of 3311 and 3307

Related Least Common Multiples of 3307

Related Least Common Multiples of 3311

Frequently Asked Questions on LCM of 3307 and 3311

1. What is the LCM of 3307 and 3311?

Answer: LCM of 3307 and 3311 is 10949477.

2. What are the Factors of 3307?

Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.

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 3307 and 3311?

Answer:

Least Common Multiple of 3307 and 3311 = 10949477

Step 1: Find the prime factorization of 3307

3307 = 3307

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 = 10949477 = 7 x 11 x 43 x 3307

Step 4: Therefore, the least common multiple of 3307 and 3311 is 10949477.