Least Common Multiple of 259 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 259 and 266 the smallest integer that is 9842 that is divisible by both numbers.

Least Common Multiple (LCM) of 259 and 266 is 9842.

LCM(259,266) = 9842

LCM of 259 and 266

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

LCM of:
and

Least Common Multiple of 259 and 266

LCM of 259 and 266 is 9842

Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 266. First we will calculate the prime factors of 259 and 266.

Prime Factorization of 259


7 259
37 37
1

Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:

259 = 71×371

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 259 and 266.

LCM(259,266) = 21×71×191×371
LCM(259,266) = 9842

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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 259 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 259 and 266, than apply into the LCM equation.

GCF(259,266) = 7
LCM(259,266) = ( 259 × 266) / 7
LCM(259,266) = 68894 / 7
LCM(259,266) = 9842

Properties of LCM 259 and 266

(i) The LCM of 266 and 259 is associative

LCM of 259 and 266 = LCM of 266 and 259

Related Least Common Multiples of 259

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 259 and 266

1. What is the LCM of 259 and 266?

Answer: LCM of 259 and 266 is 9842.

2. What are the Factors of 259?

Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.

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 259 and 266?

Answer:

Least Common Multiple of 259 and 266 = 9842

Step 1: Find the prime factorization of 259

259 = 7 x 37

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 = 9842 = 2 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 259 and 266 is 9842.