Least Common Multiple of 3311 and 3316

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 3316 the smallest integer that is 10979276 that is divisible by both numbers.

Least Common Multiple (LCM) of 3311 and 3316 is 10979276.

LCM(3311,3316) = 10979276

LCM of 3311 and 3316

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

LCM of:
and

Least Common Multiple of 3311 and 3316

LCM of 3311 and 3316 is 10979276

Least common multiple can be found by multiplying the highest exponent prime factors of 3311 and 3316. First we will calculate the prime factors of 3311 and 3316.

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 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 3311 and 3316.

LCM(3311,3316) = 22×71×111×431×8291
LCM(3311,3316) = 10979276

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 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1, 2, 4, 829, 1658, 3316

Least Common Multiple of 3311 and 3316 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 3316, than apply into the LCM equation.

GCF(3311,3316) = 1
LCM(3311,3316) = ( 3311 × 3316) / 1
LCM(3311,3316) = 10979276 / 1
LCM(3311,3316) = 10979276

Properties of LCM 3311 and 3316

(i) The LCM of 3316 and 3311 is associative

LCM of 3311 and 3316 = LCM of 3316 and 3311

Related Least Common Multiples of 3311

Related Least Common Multiples of 3316

Frequently Asked Questions on LCM of 3311 and 3316

1. What is the LCM of 3311 and 3316?

Answer: LCM of 3311 and 3316 is 10979276.

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 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

4. How to Find the LCM of 3311 and 3316?

Answer:

Least Common Multiple of 3311 and 3316 = 10979276

Step 1: Find the prime factorization of 3311

3311 = 7 x 11 x 43

Step 2: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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

LCM = 10979276 = 2 x 2 x 7 x 11 x 43 x 829

Step 4: Therefore, the least common multiple of 3311 and 3316 is 10979276.