Least Common Multiple of 3329 and 3332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3329 and 3332 the smallest integer that is 11092228 that is divisible by both numbers.

Least Common Multiple (LCM) of 3329 and 3332 is 11092228.

LCM(3329,3332) = 11092228

LCM of 3329 and 3332

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

LCM of:
and

Least Common Multiple of 3329 and 3332

LCM of 3329 and 3332 is 11092228

Least common multiple can be found by multiplying the highest exponent prime factors of 3329 and 3332. First we will calculate the prime factors of 3329 and 3332.

Prime Factorization of 3329


3329 3329
1

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

3329 = 33291

Prime Factorization of 3332


2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 3332 are 2, 7,17. Prime factorization of 3332 in exponential form is:

3332 = 22×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3329 and 3332.

LCM(3329,3332) = 22×72×171×33291
LCM(3329,3332) = 11092228

Factors of 3329

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

1, 3329

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332

Least Common Multiple of 3329 and 3332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3329 and 3332, than apply into the LCM equation.

GCF(3329,3332) = 1
LCM(3329,3332) = ( 3329 × 3332) / 1
LCM(3329,3332) = 11092228 / 1
LCM(3329,3332) = 11092228

Properties of LCM 3329 and 3332

(i) The LCM of 3332 and 3329 is associative

LCM of 3329 and 3332 = LCM of 3332 and 3329

Related Least Common Multiples of 3329

Related Least Common Multiples of 3332

Frequently Asked Questions on LCM of 3329 and 3332

1. What is the LCM of 3329 and 3332?

Answer: LCM of 3329 and 3332 is 11092228.

2. 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.

3. What are the Factors of 3332?

Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.

4. How to Find the LCM of 3329 and 3332?

Answer:

Least Common Multiple of 3329 and 3332 = 11092228

Step 1: Find the prime factorization of 3329

3329 = 3329

Step 2: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

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

LCM = 11092228 = 2 x 2 x 7 x 7 x 17 x 3329

Step 4: Therefore, the least common multiple of 3329 and 3332 is 11092228.