Least Common Multiple of 3329 and 3336

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 3336 the smallest integer that is 11105544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3329 and 3336 is 11105544.

LCM(3329,3336) = 11105544

LCM of 3329 and 3336

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

LCM of:
and

Least Common Multiple of 3329 and 3336

LCM of 3329 and 3336 is 11105544

Least common multiple can be found by multiplying the highest exponent prime factors of 3329 and 3336. First we will calculate the prime factors of 3329 and 3336.

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 3336


2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 3336 are 2, 3,139. Prime factorization of 3336 in exponential form is:

3336 = 23×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3329 and 3336.

LCM(3329,3336) = 23×31×1391×33291
LCM(3329,3336) = 11105544

Factors of 3329

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

1, 3329

Factors of 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336

Least Common Multiple of 3329 and 3336 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 3336, than apply into the LCM equation.

GCF(3329,3336) = 1
LCM(3329,3336) = ( 3329 × 3336) / 1
LCM(3329,3336) = 11105544 / 1
LCM(3329,3336) = 11105544

Properties of LCM 3329 and 3336

(i) The LCM of 3336 and 3329 is associative

LCM of 3329 and 3336 = LCM of 3336 and 3329

Related Least Common Multiples of 3329

Related Least Common Multiples of 3336

Frequently Asked Questions on LCM of 3329 and 3336

1. What is the LCM of 3329 and 3336?

Answer: LCM of 3329 and 3336 is 11105544.

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 3336?

Answer: Factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. There are 16 integers that are factors of 3336. The greatest factor of 3336 is 3336.

4. How to Find the LCM of 3329 and 3336?

Answer:

Least Common Multiple of 3329 and 3336 = 11105544

Step 1: Find the prime factorization of 3329

3329 = 3329

Step 2: Find the prime factorization of 3336

3336 = 2 x 2 x 2 x 3 x 139

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

LCM = 11105544 = 2 x 2 x 2 x 3 x 139 x 3329

Step 4: Therefore, the least common multiple of 3329 and 3336 is 11105544.