Least Common Multiple of 263 and 265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 263 and 265 the smallest integer that is 69695 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 265 is 69695.

LCM(263,265) = 69695

LCM of 263 and 265

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

LCM of:
and

Least Common Multiple of 263 and 265

LCM of 263 and 265 is 69695

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 265. First we will calculate the prime factors of 263 and 265.

Prime Factorization of 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 265.

LCM(263,265) = 51×531×2631
LCM(263,265) = 69695

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

Factors of 265

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

1, 5, 53, 265

Least Common Multiple of 263 and 265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 263 and 265, than apply into the LCM equation.

GCF(263,265) = 1
LCM(263,265) = ( 263 × 265) / 1
LCM(263,265) = 69695 / 1
LCM(263,265) = 69695

Properties of LCM 263 and 265

(i) The LCM of 265 and 263 is associative

LCM of 263 and 265 = LCM of 265 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 263 and 265

1. What is the LCM of 263 and 265?

Answer: LCM of 263 and 265 is 69695.

2. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

3. 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.

4. How to Find the LCM of 263 and 265?

Answer:

Least Common Multiple of 263 and 265 = 69695

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 69695 = 5 x 53 x 263

Step 4: Therefore, the least common multiple of 263 and 265 is 69695.