Least Common Multiple of 3260 and 3265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3260 and 3265 the smallest integer that is 2128780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3260 and 3265 is 2128780.

LCM(3260,3265) = 2128780

LCM of 3260 and 3265

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

LCM of:
and

Least Common Multiple of 3260 and 3265

LCM of 3260 and 3265 is 2128780

Least common multiple can be found by multiplying the highest exponent prime factors of 3260 and 3265. First we will calculate the prime factors of 3260 and 3265.

Prime Factorization of 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3260 and 3265.

LCM(3260,3265) = 22×51×1631×6531
LCM(3260,3265) = 2128780

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

Factors of 3265

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

1, 5, 653, 3265

Least Common Multiple of 3260 and 3265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3260 and 3265, than apply into the LCM equation.

GCF(3260,3265) = 5
LCM(3260,3265) = ( 3260 × 3265) / 5
LCM(3260,3265) = 10643900 / 5
LCM(3260,3265) = 2128780

Properties of LCM 3260 and 3265

(i) The LCM of 3265 and 3260 is associative

LCM of 3260 and 3265 = LCM of 3265 and 3260

Related Least Common Multiples of 3260

Related Least Common Multiples of 3265

Frequently Asked Questions on LCM of 3260 and 3265

1. What is the LCM of 3260 and 3265?

Answer: LCM of 3260 and 3265 is 2128780.

2. What are the Factors of 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

3. 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.

4. How to Find the LCM of 3260 and 3265?

Answer:

Least Common Multiple of 3260 and 3265 = 2128780

Step 1: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 3265

3265 = 5 x 653

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

LCM = 2128780 = 2 x 2 x 5 x 163 x 653

Step 4: Therefore, the least common multiple of 3260 and 3265 is 2128780.