Least Common Multiple of 3325 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 3325 and 3328 the smallest integer that is 11065600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3325 and 3328 is 11065600.

LCM(3325,3328) = 11065600

LCM of 3325 and 3328

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

LCM of:
and

Least Common Multiple of 3325 and 3328

LCM of 3325 and 3328 is 11065600

Least common multiple can be found by multiplying the highest exponent prime factors of 3325 and 3328. First we will calculate the prime factors of 3325 and 3328.

Prime Factorization of 3325


5 3325
5 665
7 133
19 19
1

Prime factors of 3325 are 5, 7,19. Prime factorization of 3325 in exponential form is:

3325 = 52×71×191

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 3325 and 3328.

LCM(3325,3328) = 28×52×71×131×191
LCM(3325,3328) = 11065600

Factors of 3325

List of positive integer factors of 3325 that divides 3325 without a remainder.

1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325

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 3325 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 3325 and 3328, than apply into the LCM equation.

GCF(3325,3328) = 1
LCM(3325,3328) = ( 3325 × 3328) / 1
LCM(3325,3328) = 11065600 / 1
LCM(3325,3328) = 11065600

Properties of LCM 3325 and 3328

(i) The LCM of 3328 and 3325 is associative

LCM of 3325 and 3328 = LCM of 3328 and 3325

Related Least Common Multiples of 3325

Related Least Common Multiples of 3328

Frequently Asked Questions on LCM of 3325 and 3328

1. What is the LCM of 3325 and 3328?

Answer: LCM of 3325 and 3328 is 11065600.

2. What are the Factors of 3325?

Answer: Factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325. There are 12 integers that are factors of 3325. The greatest factor of 3325 is 3325.

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 3325 and 3328?

Answer:

Least Common Multiple of 3325 and 3328 = 11065600

Step 1: Find the prime factorization of 3325

3325 = 5 x 5 x 7 x 19

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 = 11065600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 3325 and 3328 is 11065600.