Least Common Multiple of 3329 and 3333

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 3333 the smallest integer that is 11095557 that is divisible by both numbers.

Least Common Multiple (LCM) of 3329 and 3333 is 11095557.

LCM(3329,3333) = 11095557

LCM of 3329 and 3333

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

LCM of:
and

Least Common Multiple of 3329 and 3333

LCM of 3329 and 3333 is 11095557

Least common multiple can be found by multiplying the highest exponent prime factors of 3329 and 3333. First we will calculate the prime factors of 3329 and 3333.

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 3333


3 3333
11 1111
101 101
1

Prime factors of 3333 are 3, 11,101. Prime factorization of 3333 in exponential form is:

3333 = 31×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3329 and 3333.

LCM(3329,3333) = 31×111×1011×33291
LCM(3329,3333) = 11095557

Factors of 3329

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

1, 3329

Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1, 3, 11, 33, 101, 303, 1111, 3333

Least Common Multiple of 3329 and 3333 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 3333, than apply into the LCM equation.

GCF(3329,3333) = 1
LCM(3329,3333) = ( 3329 × 3333) / 1
LCM(3329,3333) = 11095557 / 1
LCM(3329,3333) = 11095557

Properties of LCM 3329 and 3333

(i) The LCM of 3333 and 3329 is associative

LCM of 3329 and 3333 = LCM of 3333 and 3329

Related Least Common Multiples of 3329

Related Least Common Multiples of 3333

Frequently Asked Questions on LCM of 3329 and 3333

1. What is the LCM of 3329 and 3333?

Answer: LCM of 3329 and 3333 is 11095557.

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 3333?

Answer: Factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333. There are 8 integers that are factors of 3333. The greatest factor of 3333 is 3333.

4. How to Find the LCM of 3329 and 3333?

Answer:

Least Common Multiple of 3329 and 3333 = 11095557

Step 1: Find the prime factorization of 3329

3329 = 3329

Step 2: Find the prime factorization of 3333

3333 = 3 x 11 x 101

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

LCM = 11095557 = 3 x 11 x 101 x 3329

Step 4: Therefore, the least common multiple of 3329 and 3333 is 11095557.