Least Common Multiple of 3324 and 3328

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 3328 the smallest integer that is 2765568 that is divisible by both numbers.

Least Common Multiple (LCM) of 3324 and 3328 is 2765568.

LCM(3324,3328) = 2765568

LCM of 3324 and 3328

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

LCM of:
and

Least Common Multiple of 3324 and 3328

LCM of 3324 and 3328 is 2765568

Least common multiple can be found by multiplying the highest exponent prime factors of 3324 and 3328. First we will calculate the prime factors of 3324 and 3328.

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 3328


2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 3328 are 2,13. Prime factorization of 3328 in exponential form is:

3328 = 28×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3324 and 3328.

LCM(3324,3328) = 28×31×131×2771
LCM(3324,3328) = 2765568

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 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328

Least Common Multiple of 3324 and 3328 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 3328, than apply into the LCM equation.

GCF(3324,3328) = 4
LCM(3324,3328) = ( 3324 × 3328) / 4
LCM(3324,3328) = 11062272 / 4
LCM(3324,3328) = 2765568

Properties of LCM 3324 and 3328

(i) The LCM of 3328 and 3324 is associative

LCM of 3324 and 3328 = LCM of 3328 and 3324

Related Least Common Multiples of 3324

Related Least Common Multiples of 3328

Frequently Asked Questions on LCM of 3324 and 3328

1. What is the LCM of 3324 and 3328?

Answer: LCM of 3324 and 3328 is 2765568.

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 3328?

Answer: Factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328. There are 18 integers that are factors of 3328. The greatest factor of 3328 is 3328.

4. How to Find the LCM of 3324 and 3328?

Answer:

Least Common Multiple of 3324 and 3328 = 2765568

Step 1: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

Step 2: Find the prime factorization of 3328

3328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

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

LCM = 2765568 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 277

Step 4: Therefore, the least common multiple of 3324 and 3328 is 2765568.