Least Common Multiple of 3261 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 3261 and 3266 the smallest integer that is 10650426 that is divisible by both numbers.

Least Common Multiple (LCM) of 3261 and 3266 is 10650426.

LCM(3261,3266) = 10650426

LCM of 3261 and 3266

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

LCM of:
and

Least Common Multiple of 3261 and 3266

LCM of 3261 and 3266 is 10650426

Least common multiple can be found by multiplying the highest exponent prime factors of 3261 and 3266. First we will calculate the prime factors of 3261 and 3266.

Prime Factorization of 3261


3 3261
1087 1087
1

Prime factors of 3261 are 3,1087. Prime factorization of 3261 in exponential form is:

3261 = 31×10871

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 3261 and 3266.

LCM(3261,3266) = 21×31×231×711×10871
LCM(3261,3266) = 10650426

Factors of 3261

List of positive integer factors of 3261 that divides 3261 without a remainder.

1, 3, 1087, 3261

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 3261 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 3261 and 3266, than apply into the LCM equation.

GCF(3261,3266) = 1
LCM(3261,3266) = ( 3261 × 3266) / 1
LCM(3261,3266) = 10650426 / 1
LCM(3261,3266) = 10650426

Properties of LCM 3261 and 3266

(i) The LCM of 3266 and 3261 is associative

LCM of 3261 and 3266 = LCM of 3266 and 3261

Related Least Common Multiples of 3261

Related Least Common Multiples of 3266

Frequently Asked Questions on LCM of 3261 and 3266

1. What is the LCM of 3261 and 3266?

Answer: LCM of 3261 and 3266 is 10650426.

2. What are the Factors of 3261?

Answer: Factors of 3261 are 1, 3, 1087, 3261. There are 4 integers that are factors of 3261. The greatest factor of 3261 is 3261.

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 3261 and 3266?

Answer:

Least Common Multiple of 3261 and 3266 = 10650426

Step 1: Find the prime factorization of 3261

3261 = 3 x 1087

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 = 10650426 = 2 x 3 x 23 x 71 x 1087

Step 4: Therefore, the least common multiple of 3261 and 3266 is 10650426.