Least Common Multiple of 266 and 273

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 273 the smallest integer that is 10374 that is divisible by both numbers.

Least Common Multiple (LCM) of 266 and 273 is 10374.

LCM(266,273) = 10374

LCM of 266 and 273

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

LCM of:
and

Least Common Multiple of 266 and 273

LCM of 266 and 273 is 10374

Least common multiple can be found by multiplying the highest exponent prime factors of 266 and 273. First we will calculate the prime factors of 266 and 273.

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 273


3 273
7 91
13 13
1

Prime factors of 273 are 3, 7,13. Prime factorization of 273 in exponential form is:

273 = 31×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 266 and 273.

LCM(266,273) = 21×31×71×131×191
LCM(266,273) = 10374

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 273

List of positive integer factors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Least Common Multiple of 266 and 273 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 273, than apply into the LCM equation.

GCF(266,273) = 7
LCM(266,273) = ( 266 × 273) / 7
LCM(266,273) = 72618 / 7
LCM(266,273) = 10374

Properties of LCM 266 and 273

(i) The LCM of 273 and 266 is associative

LCM of 266 and 273 = LCM of 273 and 266

Related Least Common Multiples of 266

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 266 and 273

1. What is the LCM of 266 and 273?

Answer: LCM of 266 and 273 is 10374.

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 273?

Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.

4. How to Find the LCM of 266 and 273?

Answer:

Least Common Multiple of 266 and 273 = 10374

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 273

273 = 3 x 7 x 13

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

LCM = 10374 = 2 x 3 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 266 and 273 is 10374.