Least Common Multiple of 3285 and 3289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3285 and 3289 the smallest integer that is 10804365 that is divisible by both numbers.

Least Common Multiple (LCM) of 3285 and 3289 is 10804365.

LCM(3285,3289) = 10804365

LCM of 3285 and 3289

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

LCM of:
and

Least Common Multiple of 3285 and 3289

LCM of 3285 and 3289 is 10804365

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3289. First we will calculate the prime factors of 3285 and 3289.

Prime Factorization of 3285


3 3285
3 1095
5 365
73 73
1

Prime factors of 3285 are 3, 5,73. Prime factorization of 3285 in exponential form is:

3285 = 32×51×731

Prime Factorization of 3289


11 3289
13 299
23 23
1

Prime factors of 3289 are 11, 13,23. Prime factorization of 3289 in exponential form is:

3289 = 111×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3289.

LCM(3285,3289) = 32×51×111×131×231×731
LCM(3285,3289) = 10804365

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1, 11, 13, 23, 143, 253, 299, 3289

Least Common Multiple of 3285 and 3289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3289, than apply into the LCM equation.

GCF(3285,3289) = 1
LCM(3285,3289) = ( 3285 × 3289) / 1
LCM(3285,3289) = 10804365 / 1
LCM(3285,3289) = 10804365

Properties of LCM 3285 and 3289

(i) The LCM of 3289 and 3285 is associative

LCM of 3285 and 3289 = LCM of 3289 and 3285

Related Least Common Multiples of 3285

Related Least Common Multiples of 3289

Frequently Asked Questions on LCM of 3285 and 3289

1. What is the LCM of 3285 and 3289?

Answer: LCM of 3285 and 3289 is 10804365.

2. What are the Factors of 3285?

Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.

3. What are the Factors of 3289?

Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.

4. How to Find the LCM of 3285 and 3289?

Answer:

Least Common Multiple of 3285 and 3289 = 10804365

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 3289

3289 = 11 x 13 x 23

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

LCM = 10804365 = 3 x 3 x 5 x 11 x 13 x 23 x 73

Step 4: Therefore, the least common multiple of 3285 and 3289 is 10804365.