Least Common Multiple of 260 and 268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 260 and 268 the smallest integer that is 17420 that is divisible by both numbers.

Least Common Multiple (LCM) of 260 and 268 is 17420.

LCM(260,268) = 17420

LCM of 260 and 268

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

LCM of:
and

Least Common Multiple of 260 and 268

LCM of 260 and 268 is 17420

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 268. First we will calculate the prime factors of 260 and 268.

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

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Now multiplying the highest exponent prime factors to calculate the LCM of 260 and 268.

LCM(260,268) = 22×51×131×671
LCM(260,268) = 17420

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

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Least Common Multiple of 260 and 268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 268, than apply into the LCM equation.

GCF(260,268) = 4
LCM(260,268) = ( 260 × 268) / 4
LCM(260,268) = 69680 / 4
LCM(260,268) = 17420

Properties of LCM 260 and 268

(i) The LCM of 268 and 260 is associative

LCM of 260 and 268 = LCM of 268 and 260

Related Least Common Multiples of 260

Related Least Common Multiples of 268

Frequently Asked Questions on LCM of 260 and 268

1. What is the LCM of 260 and 268?

Answer: LCM of 260 and 268 is 17420.

2. 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.

3. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

4. How to Find the LCM of 260 and 268?

Answer:

Least Common Multiple of 260 and 268 = 17420

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

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

LCM = 17420 = 2 x 2 x 5 x 13 x 67

Step 4: Therefore, the least common multiple of 260 and 268 is 17420.