Least Common Multiple of 3322 and 3329

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 3329 the smallest integer that is 11058938 that is divisible by both numbers.

Least Common Multiple (LCM) of 3322 and 3329 is 11058938.

LCM(3322,3329) = 11058938

LCM of 3322 and 3329

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

LCM of:
and

Least Common Multiple of 3322 and 3329

LCM of 3322 and 3329 is 11058938

Least common multiple can be found by multiplying the highest exponent prime factors of 3322 and 3329. First we will calculate the prime factors of 3322 and 3329.

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 3329


3329 3329
1

Prime factors of 3329 are 3329. Prime factorization of 3329 in exponential form is:

3329 = 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 3322 and 3329.

LCM(3322,3329) = 21×111×1511×33291
LCM(3322,3329) = 11058938

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 3329

List of positive integer factors of 3329 that divides 3329 without a remainder.

1, 3329

Least Common Multiple of 3322 and 3329 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 3329, than apply into the LCM equation.

GCF(3322,3329) = 1
LCM(3322,3329) = ( 3322 × 3329) / 1
LCM(3322,3329) = 11058938 / 1
LCM(3322,3329) = 11058938

Properties of LCM 3322 and 3329

(i) The LCM of 3329 and 3322 is associative

LCM of 3322 and 3329 = LCM of 3329 and 3322

Related Least Common Multiples of 3322

Related Least Common Multiples of 3329

Frequently Asked Questions on LCM of 3322 and 3329

1. What is the LCM of 3322 and 3329?

Answer: LCM of 3322 and 3329 is 11058938.

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 3329?

Answer: Factors of 3329 are 1, 3329. There are 2 integers that are factors of 3329. The greatest factor of 3329 is 3329.

4. How to Find the LCM of 3322 and 3329?

Answer:

Least Common Multiple of 3322 and 3329 = 11058938

Step 1: Find the prime factorization of 3322

3322 = 2 x 11 x 151

Step 2: Find the prime factorization of 3329

3329 = 3329

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

LCM = 11058938 = 2 x 11 x 151 x 3329

Step 4: Therefore, the least common multiple of 3322 and 3329 is 11058938.