Least Common Multiple of 3265 and 3269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3265 and 3269 the smallest integer that is 10673285 that is divisible by both numbers.

Least Common Multiple (LCM) of 3265 and 3269 is 10673285.

LCM(3265,3269) = 10673285

LCM of 3265 and 3269

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

LCM of:
and

Least Common Multiple of 3265 and 3269

LCM of 3265 and 3269 is 10673285

Least common multiple can be found by multiplying the highest exponent prime factors of 3265 and 3269. First we will calculate the prime factors of 3265 and 3269.

Prime Factorization of 3265


5 3265
653 653
1

Prime factors of 3265 are 5,653. Prime factorization of 3265 in exponential form is:

3265 = 51×6531

Prime Factorization of 3269


7 3269
467 467
1

Prime factors of 3269 are 7,467. Prime factorization of 3269 in exponential form is:

3269 = 71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 3265 and 3269.

LCM(3265,3269) = 51×71×4671×6531
LCM(3265,3269) = 10673285

Factors of 3265

List of positive integer factors of 3265 that divides 3265 without a remainder.

1, 5, 653, 3265

Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1, 7, 467, 3269

Least Common Multiple of 3265 and 3269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3265 and 3269, than apply into the LCM equation.

GCF(3265,3269) = 1
LCM(3265,3269) = ( 3265 × 3269) / 1
LCM(3265,3269) = 10673285 / 1
LCM(3265,3269) = 10673285

Properties of LCM 3265 and 3269

(i) The LCM of 3269 and 3265 is associative

LCM of 3265 and 3269 = LCM of 3269 and 3265

Related Least Common Multiples of 3265

Related Least Common Multiples of 3269

Frequently Asked Questions on LCM of 3265 and 3269

1. What is the LCM of 3265 and 3269?

Answer: LCM of 3265 and 3269 is 10673285.

2. What are the Factors of 3265?

Answer: Factors of 3265 are 1, 5, 653, 3265. There are 4 integers that are factors of 3265. The greatest factor of 3265 is 3265.

3. What are the Factors of 3269?

Answer: Factors of 3269 are 1, 7, 467, 3269. There are 4 integers that are factors of 3269. The greatest factor of 3269 is 3269.

4. How to Find the LCM of 3265 and 3269?

Answer:

Least Common Multiple of 3265 and 3269 = 10673285

Step 1: Find the prime factorization of 3265

3265 = 5 x 653

Step 2: Find the prime factorization of 3269

3269 = 7 x 467

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

LCM = 10673285 = 5 x 7 x 467 x 653

Step 4: Therefore, the least common multiple of 3265 and 3269 is 10673285.