Least Common Multiple of 259 and 260

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 260 the smallest integer that is 67340 that is divisible by both numbers.

Least Common Multiple (LCM) of 259 and 260 is 67340.

LCM(259,260) = 67340

LCM of 259 and 260

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

LCM of:
and

Least Common Multiple of 259 and 260

LCM of 259 and 260 is 67340

Least common multiple can be found by multiplying the highest exponent prime factors of 259 and 260. First we will calculate the prime factors of 259 and 260.

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 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 259 and 260.

LCM(259,260) = 22×51×71×131×371
LCM(259,260) = 67340

Factors of 259

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

1, 7, 37, 259

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Least Common Multiple of 259 and 260 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 260, than apply into the LCM equation.

GCF(259,260) = 1
LCM(259,260) = ( 259 × 260) / 1
LCM(259,260) = 67340 / 1
LCM(259,260) = 67340

Properties of LCM 259 and 260

(i) The LCM of 260 and 259 is associative

LCM of 259 and 260 = LCM of 260 and 259

Related Least Common Multiples of 259

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 259 and 260

1. What is the LCM of 259 and 260?

Answer: LCM of 259 and 260 is 67340.

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 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

4. How to Find the LCM of 259 and 260?

Answer:

Least Common Multiple of 259 and 260 = 67340

Step 1: Find the prime factorization of 259

259 = 7 x 37

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

LCM = 67340 = 2 x 2 x 5 x 7 x 13 x 37

Step 4: Therefore, the least common multiple of 259 and 260 is 67340.