Least Common Multiple of 3311 and 3319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3311 and 3319 the smallest integer that is 10989209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3311 and 3319 is 10989209.

LCM(3311,3319) = 10989209

LCM of 3311 and 3319

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

LCM of:
and

Least Common Multiple of 3311 and 3319

LCM of 3311 and 3319 is 10989209

Least common multiple can be found by multiplying the highest exponent prime factors of 3311 and 3319. First we will calculate the prime factors of 3311 and 3319.

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

Prime Factorization of 3319


3319 3319
1

Prime factors of 3319 are 3319. Prime factorization of 3319 in exponential form is:

3319 = 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 3311 and 3319.

LCM(3311,3319) = 71×111×431×33191
LCM(3311,3319) = 10989209

Factors of 3311

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

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

Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

1, 3319

Least Common Multiple of 3311 and 3319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3311 and 3319, than apply into the LCM equation.

GCF(3311,3319) = 1
LCM(3311,3319) = ( 3311 × 3319) / 1
LCM(3311,3319) = 10989209 / 1
LCM(3311,3319) = 10989209

Properties of LCM 3311 and 3319

(i) The LCM of 3319 and 3311 is associative

LCM of 3311 and 3319 = LCM of 3319 and 3311

Related Least Common Multiples of 3311

Related Least Common Multiples of 3319

Frequently Asked Questions on LCM of 3311 and 3319

1. What is the LCM of 3311 and 3319?

Answer: LCM of 3311 and 3319 is 10989209.

2. 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.

3. What are the Factors of 3319?

Answer: Factors of 3319 are 1, 3319. There are 2 integers that are factors of 3319. The greatest factor of 3319 is 3319.

4. How to Find the LCM of 3311 and 3319?

Answer:

Least Common Multiple of 3311 and 3319 = 10989209

Step 1: Find the prime factorization of 3311

3311 = 7 x 11 x 43

Step 2: Find the prime factorization of 3319

3319 = 3319

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

LCM = 10989209 = 7 x 11 x 43 x 3319

Step 4: Therefore, the least common multiple of 3311 and 3319 is 10989209.