Least Common Multiple of 3329 and 3337

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 3337 the smallest integer that is 11108873 that is divisible by both numbers.

Least Common Multiple (LCM) of 3329 and 3337 is 11108873.

LCM(3329,3337) = 11108873

LCM of 3329 and 3337

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

LCM of:
and

Least Common Multiple of 3329 and 3337

LCM of 3329 and 3337 is 11108873

Least common multiple can be found by multiplying the highest exponent prime factors of 3329 and 3337. First we will calculate the prime factors of 3329 and 3337.

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 3337


47 3337
71 71
1

Prime factors of 3337 are 47,71. Prime factorization of 3337 in exponential form is:

3337 = 471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3329 and 3337.

LCM(3329,3337) = 471×711×33291
LCM(3329,3337) = 11108873

Factors of 3329

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

1, 3329

Factors of 3337

List of positive integer factors of 3337 that divides 3337 without a remainder.

1, 47, 71, 3337

Least Common Multiple of 3329 and 3337 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 3337, than apply into the LCM equation.

GCF(3329,3337) = 1
LCM(3329,3337) = ( 3329 × 3337) / 1
LCM(3329,3337) = 11108873 / 1
LCM(3329,3337) = 11108873

Properties of LCM 3329 and 3337

(i) The LCM of 3337 and 3329 is associative

LCM of 3329 and 3337 = LCM of 3337 and 3329

Related Least Common Multiples of 3329

Related Least Common Multiples of 3337

Frequently Asked Questions on LCM of 3329 and 3337

1. What is the LCM of 3329 and 3337?

Answer: LCM of 3329 and 3337 is 11108873.

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 3337?

Answer: Factors of 3337 are 1, 47, 71, 3337. There are 4 integers that are factors of 3337. The greatest factor of 3337 is 3337.

4. How to Find the LCM of 3329 and 3337?

Answer:

Least Common Multiple of 3329 and 3337 = 11108873

Step 1: Find the prime factorization of 3329

3329 = 3329

Step 2: Find the prime factorization of 3337

3337 = 47 x 71

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

LCM = 11108873 = 47 x 71 x 3329

Step 4: Therefore, the least common multiple of 3329 and 3337 is 11108873.