Least Common Multiple of 3260 and 3266

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 3266 the smallest integer that is 5323580 that is divisible by both numbers.

Least Common Multiple (LCM) of 3260 and 3266 is 5323580.

LCM(3260,3266) = 5323580

LCM of 3260 and 3266

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

LCM of:
and

Least Common Multiple of 3260 and 3266

LCM of 3260 and 3266 is 5323580

Least common multiple can be found by multiplying the highest exponent prime factors of 3260 and 3266. First we will calculate the prime factors of 3260 and 3266.

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 3266


2 3266
23 1633
71 71
1

Prime factors of 3266 are 2, 23,71. Prime factorization of 3266 in exponential form is:

3266 = 21×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3260 and 3266.

LCM(3260,3266) = 22×51×231×711×1631
LCM(3260,3266) = 5323580

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 3266

List of positive integer factors of 3266 that divides 3266 without a remainder.

1, 2, 23, 46, 71, 142, 1633, 3266

Least Common Multiple of 3260 and 3266 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 3266, than apply into the LCM equation.

GCF(3260,3266) = 2
LCM(3260,3266) = ( 3260 × 3266) / 2
LCM(3260,3266) = 10647160 / 2
LCM(3260,3266) = 5323580

Properties of LCM 3260 and 3266

(i) The LCM of 3266 and 3260 is associative

LCM of 3260 and 3266 = LCM of 3266 and 3260

Related Least Common Multiples of 3260

Related Least Common Multiples of 3266

Frequently Asked Questions on LCM of 3260 and 3266

1. What is the LCM of 3260 and 3266?

Answer: LCM of 3260 and 3266 is 5323580.

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 3266?

Answer: Factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266. There are 8 integers that are factors of 3266. The greatest factor of 3266 is 3266.

4. How to Find the LCM of 3260 and 3266?

Answer:

Least Common Multiple of 3260 and 3266 = 5323580

Step 1: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 3266

3266 = 2 x 23 x 71

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

LCM = 5323580 = 2 x 2 x 5 x 23 x 71 x 163

Step 4: Therefore, the least common multiple of 3260 and 3266 is 5323580.