Least Common Multiple of 259 and 261

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 261 the smallest integer that is 67599 that is divisible by both numbers.

Least Common Multiple (LCM) of 259 and 261 is 67599.

LCM(259,261) = 67599

LCM of 259 and 261

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

LCM of:
and

Least Common Multiple of 259 and 261

LCM of 259 and 261 is 67599

Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 261. First we will calculate the prime factors of 259 and 261.

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 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 259 and 261.

LCM(259,261) = 32×71×291×371
LCM(259,261) = 67599

Factors of 259

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

1, 7, 37, 259

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Least Common Multiple of 259 and 261 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 261, than apply into the LCM equation.

GCF(259,261) = 1
LCM(259,261) = ( 259 × 261) / 1
LCM(259,261) = 67599 / 1
LCM(259,261) = 67599

Properties of LCM 259 and 261

(i) The LCM of 261 and 259 is associative

LCM of 259 and 261 = LCM of 261 and 259

Related Least Common Multiples of 259

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 259 and 261

1. What is the LCM of 259 and 261?

Answer: LCM of 259 and 261 is 67599.

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 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the LCM of 259 and 261?

Answer:

Least Common Multiple of 259 and 261 = 67599

Step 1: Find the prime factorization of 259

259 = 7 x 37

Step 2: Find the prime factorization of 261

261 = 3 x 3 x 29

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

LCM = 67599 = 3 x 3 x 7 x 29 x 37

Step 4: Therefore, the least common multiple of 259 and 261 is 67599.