Least Common Multiple of 262 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 262 and 266 the smallest integer that is 34846 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 266 is 34846.

LCM(262,266) = 34846

LCM of 262 and 266

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

LCM of:
and

Least Common Multiple of 262 and 266

LCM of 262 and 266 is 34846

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 266. First we will calculate the prime factors of 262 and 266.

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

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 262 and 266.

LCM(262,266) = 21×71×191×1311
LCM(262,266) = 34846

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 262 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 262 and 266, than apply into the LCM equation.

GCF(262,266) = 2
LCM(262,266) = ( 262 × 266) / 2
LCM(262,266) = 69692 / 2
LCM(262,266) = 34846

Properties of LCM 262 and 266

(i) The LCM of 266 and 262 is associative

LCM of 262 and 266 = LCM of 266 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 262 and 266

1. What is the LCM of 262 and 266?

Answer: LCM of 262 and 266 is 34846.

2. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

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 262 and 266?

Answer:

Least Common Multiple of 262 and 266 = 34846

Step 1: Find the prime factorization of 262

262 = 2 x 131

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 = 34846 = 2 x 7 x 19 x 131

Step 4: Therefore, the least common multiple of 262 and 266 is 34846.