Least Common Multiple of 3310 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 3310 and 3311 the smallest integer that is 10959410 that is divisible by both numbers.

Least Common Multiple (LCM) of 3310 and 3311 is 10959410.

LCM(3310,3311) = 10959410

LCM of 3310 and 3311

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

LCM of:
and

Least Common Multiple of 3310 and 3311

LCM of 3310 and 3311 is 10959410

Least common multiple can be found by multiplying the highest exponent prime factors of 3310 and 3311. First we will calculate the prime factors of 3310 and 3311.

Prime Factorization of 3310


2 3310
5 1655
331 331
1

Prime factors of 3310 are 2, 5,331. Prime factorization of 3310 in exponential form is:

3310 = 21×51×3311

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 3310 and 3311.

LCM(3310,3311) = 21×51×71×111×431×3311
LCM(3310,3311) = 10959410

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1, 2, 5, 10, 331, 662, 1655, 3310

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 3310 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 3310 and 3311, than apply into the LCM equation.

GCF(3310,3311) = 1
LCM(3310,3311) = ( 3310 × 3311) / 1
LCM(3310,3311) = 10959410 / 1
LCM(3310,3311) = 10959410

Properties of LCM 3310 and 3311

(i) The LCM of 3311 and 3310 is associative

LCM of 3310 and 3311 = LCM of 3311 and 3310

Related Least Common Multiples of 3310

Related Least Common Multiples of 3311

Frequently Asked Questions on LCM of 3310 and 3311

1. What is the LCM of 3310 and 3311?

Answer: LCM of 3310 and 3311 is 10959410.

2. What are the Factors of 3310?

Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.

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 3310 and 3311?

Answer:

Least Common Multiple of 3310 and 3311 = 10959410

Step 1: Find the prime factorization of 3310

3310 = 2 x 5 x 331

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 = 10959410 = 2 x 5 x 7 x 11 x 43 x 331

Step 4: Therefore, the least common multiple of 3310 and 3311 is 10959410.