Least Common Multiple of 3324 and 3331

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 3331 the smallest integer that is 11072244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3324 and 3331 is 11072244.

LCM(3324,3331) = 11072244

LCM of 3324 and 3331

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

LCM of:
and

Least Common Multiple of 3324 and 3331

LCM of 3324 and 3331 is 11072244

Least common multiple can be found by multiplying the highest exponent prime factors of 3324 and 3331. First we will calculate the prime factors of 3324 and 3331.

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 3331


3331 3331
1

Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:

3331 = 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 3324 and 3331.

LCM(3324,3331) = 22×31×2771×33311
LCM(3324,3331) = 11072244

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 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1, 3331

Least Common Multiple of 3324 and 3331 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 3331, than apply into the LCM equation.

GCF(3324,3331) = 1
LCM(3324,3331) = ( 3324 × 3331) / 1
LCM(3324,3331) = 11072244 / 1
LCM(3324,3331) = 11072244

Properties of LCM 3324 and 3331

(i) The LCM of 3331 and 3324 is associative

LCM of 3324 and 3331 = LCM of 3331 and 3324

Related Least Common Multiples of 3324

Related Least Common Multiples of 3331

Frequently Asked Questions on LCM of 3324 and 3331

1. What is the LCM of 3324 and 3331?

Answer: LCM of 3324 and 3331 is 11072244.

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 3331?

Answer: Factors of 3331 are 1, 3331. There are 2 integers that are factors of 3331. The greatest factor of 3331 is 3331.

4. How to Find the LCM of 3324 and 3331?

Answer:

Least Common Multiple of 3324 and 3331 = 11072244

Step 1: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

Step 2: Find the prime factorization of 3331

3331 = 3331

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

LCM = 11072244 = 2 x 2 x 3 x 277 x 3331

Step 4: Therefore, the least common multiple of 3324 and 3331 is 11072244.