Least Common Multiple of 265 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 265 and 266 the smallest integer that is 70490 that is divisible by both numbers.

Least Common Multiple (LCM) of 265 and 266 is 70490.

LCM(265,266) = 70490

LCM of 265 and 266

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

LCM of:
and

Least Common Multiple of 265 and 266

LCM of 265 and 266 is 70490

Least common multiple can be found by multiplying the highest exponent prime factors of 265 and 266. First we will calculate the prime factors of 265 and 266.

Prime Factorization of 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

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 265 and 266.

LCM(265,266) = 21×51×71×191×531
LCM(265,266) = 70490

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 265 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 265 and 266, than apply into the LCM equation.

GCF(265,266) = 1
LCM(265,266) = ( 265 × 266) / 1
LCM(265,266) = 70490 / 1
LCM(265,266) = 70490

Properties of LCM 265 and 266

(i) The LCM of 266 and 265 is associative

LCM of 265 and 266 = LCM of 266 and 265

Related Least Common Multiples of 265

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 265 and 266

1. What is the LCM of 265 and 266?

Answer: LCM of 265 and 266 is 70490.

2. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

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 265 and 266?

Answer:

Least Common Multiple of 265 and 266 = 70490

Step 1: Find the prime factorization of 265

265 = 5 x 53

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 = 70490 = 2 x 5 x 7 x 19 x 53

Step 4: Therefore, the least common multiple of 265 and 266 is 70490.