Least Common Multiple of 263 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 263 and 266 the smallest integer that is 69958 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 266 is 69958.

LCM(263,266) = 69958

LCM of 263 and 266

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

LCM of:
and

Least Common Multiple of 263 and 266

LCM of 263 and 266 is 69958

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 266. First we will calculate the prime factors of 263 and 266.

Prime Factorization of 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

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 263 and 266.

LCM(263,266) = 21×71×191×2631
LCM(263,266) = 69958

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

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 263 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 263 and 266, than apply into the LCM equation.

GCF(263,266) = 1
LCM(263,266) = ( 263 × 266) / 1
LCM(263,266) = 69958 / 1
LCM(263,266) = 69958

Properties of LCM 263 and 266

(i) The LCM of 266 and 263 is associative

LCM of 263 and 266 = LCM of 266 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 263 and 266

1. What is the LCM of 263 and 266?

Answer: LCM of 263 and 266 is 69958.

2. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

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 263 and 266?

Answer:

Least Common Multiple of 263 and 266 = 69958

Step 1: Find the prime factorization of 263

263 = 263

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 = 69958 = 2 x 7 x 19 x 263

Step 4: Therefore, the least common multiple of 263 and 266 is 69958.