Least Common Multiple of 3322 and 3326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3322 and 3326 the smallest integer that is 5524486 that is divisible by both numbers.

Least Common Multiple (LCM) of 3322 and 3326 is 5524486.

LCM(3322,3326) = 5524486

LCM of 3322 and 3326

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

LCM of:
and

Least Common Multiple of 3322 and 3326

LCM of 3322 and 3326 is 5524486

Least common multiple can be found by multiplying the highest exponent prime factors of 3322 and 3326. First we will calculate the prime factors of 3322 and 3326.

Prime Factorization of 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2, 11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

Prime Factorization of 3326


2 3326
1663 1663
1

Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:

3326 = 21×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 3322 and 3326.

LCM(3322,3326) = 21×111×1511×16631
LCM(3322,3326) = 5524486

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1, 2, 11, 22, 151, 302, 1661, 3322

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1, 2, 1663, 3326

Least Common Multiple of 3322 and 3326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3322 and 3326, than apply into the LCM equation.

GCF(3322,3326) = 2
LCM(3322,3326) = ( 3322 × 3326) / 2
LCM(3322,3326) = 11048972 / 2
LCM(3322,3326) = 5524486

Properties of LCM 3322 and 3326

(i) The LCM of 3326 and 3322 is associative

LCM of 3322 and 3326 = LCM of 3326 and 3322

Frequently Asked Questions on LCM of 3322 and 3326

1. What is the LCM of 3322 and 3326?

Answer: LCM of 3322 and 3326 is 5524486.

2. What are the Factors of 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

3. What are the Factors of 3326?

Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.

4. How to Find the LCM of 3322 and 3326?

Answer:

Least Common Multiple of 3322 and 3326 = 5524486

Step 1: Find the prime factorization of 3322

3322 = 2 x 11 x 151

Step 2: Find the prime factorization of 3326

3326 = 2 x 1663

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

LCM = 5524486 = 2 x 11 x 151 x 1663

Step 4: Therefore, the least common multiple of 3322 and 3326 is 5524486.