Least Common Multiple of 266 and 270

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 270 the smallest integer that is 35910 that is divisible by both numbers.

Least Common Multiple (LCM) of 266 and 270 is 35910.

LCM(266,270) = 35910

LCM of 266 and 270

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

LCM of:
and

Least Common Multiple of 266 and 270

LCM of 266 and 270 is 35910

Least common multiple can be found by multiplying the highest exponent prime factors of 266 and 270. First we will calculate the prime factors of 266 and 270.

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 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2, 3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 266 and 270.

LCM(266,270) = 21×33×51×71×191
LCM(266,270) = 35910

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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Least Common Multiple of 266 and 270 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 270, than apply into the LCM equation.

GCF(266,270) = 2
LCM(266,270) = ( 266 × 270) / 2
LCM(266,270) = 71820 / 2
LCM(266,270) = 35910

Properties of LCM 266 and 270

(i) The LCM of 270 and 266 is associative

LCM of 266 and 270 = LCM of 270 and 266

Related Least Common Multiples of 266

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 266 and 270

1. What is the LCM of 266 and 270?

Answer: LCM of 266 and 270 is 35910.

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 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

4. How to Find the LCM of 266 and 270?

Answer:

Least Common Multiple of 266 and 270 = 35910

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

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

LCM = 35910 = 2 x 3 x 3 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 266 and 270 is 35910.