Least Common Multiple of 261 and 266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 261 and 266 the smallest integer that is 69426 that is divisible by both numbers.

Least Common Multiple (LCM) of 261 and 266 is 69426.

LCM(261,266) = 69426

LCM of 261 and 266

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

LCM of:
and

Least Common Multiple of 261 and 266

LCM of 261 and 266 is 69426

Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 266. First we will calculate the prime factors of 261 and 266.

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Prime Factorization of 266


2 266
7 133
19 19
1

Prime factors of 266 are 2, 7,19. Prime factorization of 266 in exponential form is:

266 = 21×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 266.

LCM(261,266) = 21×32×71×191×291
LCM(261,266) = 69426

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Least Common Multiple of 261 and 266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 261 and 266, than apply into the LCM equation.

GCF(261,266) = 1
LCM(261,266) = ( 261 × 266) / 1
LCM(261,266) = 69426 / 1
LCM(261,266) = 69426

Properties of LCM 261 and 266

(i) The LCM of 266 and 261 is associative

LCM of 261 and 266 = LCM of 266 and 261

Related Least Common Multiples of 261

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 261 and 266

1. What is the LCM of 261 and 266?

Answer: LCM of 261 and 266 is 69426.

2. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

3. What are the Factors of 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

4. How to Find the LCM of 261 and 266?

Answer:

Least Common Multiple of 261 and 266 = 69426

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 2: Find the prime factorization of 266

266 = 2 x 7 x 19

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

LCM = 69426 = 2 x 3 x 3 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 261 and 266 is 69426.