Least Common Multiple of 259 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 259 and 265 the smallest integer that is 68635 that is divisible by both numbers.

Least Common Multiple (LCM) of 259 and 265 is 68635.

LCM(259,265) = 68635

LCM of 259 and 265

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

LCM of:
and

Least Common Multiple of 259 and 265

LCM of 259 and 265 is 68635

Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 265. First we will calculate the prime factors of 259 and 265.

Prime Factorization of 259


7 259
37 37
1

Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:

259 = 71×371

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 259 and 265.

LCM(259,265) = 51×71×371×531
LCM(259,265) = 68635

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Factors of 265

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

1, 5, 53, 265

Least Common Multiple of 259 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 259 and 265, than apply into the LCM equation.

GCF(259,265) = 1
LCM(259,265) = ( 259 × 265) / 1
LCM(259,265) = 68635 / 1
LCM(259,265) = 68635

Properties of LCM 259 and 265

(i) The LCM of 265 and 259 is associative

LCM of 259 and 265 = LCM of 265 and 259

Related Least Common Multiples of 259

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 259 and 265

1. What is the LCM of 259 and 265?

Answer: LCM of 259 and 265 is 68635.

2. What are the Factors of 259?

Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.

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 259 and 265?

Answer:

Least Common Multiple of 259 and 265 = 68635

Step 1: Find the prime factorization of 259

259 = 7 x 37

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 = 68635 = 5 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 259 and 265 is 68635.