Least Common Multiple of 266 and 268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 266 and 268 the smallest integer that is 35644 that is divisible by both numbers.

Least Common Multiple (LCM) of 266 and 268 is 35644.

LCM(266,268) = 35644

LCM of 266 and 268

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

LCM of:
and

Least Common Multiple of 266 and 268

LCM of 266 and 268 is 35644

Least common multiple can be found by multiplying the highest exponent prime factors of 266 and 268. First we will calculate the prime factors of 266 and 268.

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

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Now multiplying the highest exponent prime factors to calculate the LCM of 266 and 268.

LCM(266,268) = 22×71×191×671
LCM(266,268) = 35644

Factors of 266

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

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

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Least Common Multiple of 266 and 268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 266 and 268, than apply into the LCM equation.

GCF(266,268) = 2
LCM(266,268) = ( 266 × 268) / 2
LCM(266,268) = 71288 / 2
LCM(266,268) = 35644

Properties of LCM 266 and 268

(i) The LCM of 268 and 266 is associative

LCM of 266 and 268 = LCM of 268 and 266

Related Least Common Multiples of 266

Related Least Common Multiples of 268

Frequently Asked Questions on LCM of 266 and 268

1. What is the LCM of 266 and 268?

Answer: LCM of 266 and 268 is 35644.

2. 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.

3. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

4. How to Find the LCM of 266 and 268?

Answer:

Least Common Multiple of 266 and 268 = 35644

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

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

LCM = 35644 = 2 x 2 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 266 and 268 is 35644.