Least Common Multiple of 3324 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 3324 and 3329 the smallest integer that is 11065596 that is divisible by both numbers.

Least Common Multiple (LCM) of 3324 and 3329 is 11065596.

LCM(3324,3329) = 11065596

LCM of 3324 and 3329

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

LCM of:
and

Least Common Multiple of 3324 and 3329

LCM of 3324 and 3329 is 11065596

Least common multiple can be found by multiplying the highest exponent prime factors of 3324 and 3329. First we will calculate the prime factors of 3324 and 3329.

Prime Factorization of 3324


2 3324
2 1662
3 831
277 277
1

Prime factors of 3324 are 2, 3,277. Prime factorization of 3324 in exponential form is:

3324 = 22×31×2771

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 3324 and 3329.

LCM(3324,3329) = 22×31×2771×33291
LCM(3324,3329) = 11065596

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324

Factors of 3329

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

1, 3329

Least Common Multiple of 3324 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 3324 and 3329, than apply into the LCM equation.

GCF(3324,3329) = 1
LCM(3324,3329) = ( 3324 × 3329) / 1
LCM(3324,3329) = 11065596 / 1
LCM(3324,3329) = 11065596

Properties of LCM 3324 and 3329

(i) The LCM of 3329 and 3324 is associative

LCM of 3324 and 3329 = LCM of 3329 and 3324

Related Least Common Multiples of 3324

Related Least Common Multiples of 3329

Frequently Asked Questions on LCM of 3324 and 3329

1. What is the LCM of 3324 and 3329?

Answer: LCM of 3324 and 3329 is 11065596.

2. What are the Factors of 3324?

Answer: Factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. There are 12 integers that are factors of 3324. The greatest factor of 3324 is 3324.

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 3324 and 3329?

Answer:

Least Common Multiple of 3324 and 3329 = 11065596

Step 1: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

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 = 11065596 = 2 x 2 x 3 x 277 x 3329

Step 4: Therefore, the least common multiple of 3324 and 3329 is 11065596.