Least Common Multiple of 260 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 260 and 261 the smallest integer that is 67860 that is divisible by both numbers.

Least Common Multiple (LCM) of 260 and 261 is 67860.

LCM(260,261) = 67860

LCM of 260 and 261

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

LCM of:
and

Least Common Multiple of 260 and 261

LCM of 260 and 261 is 67860

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 261. First we will calculate the prime factors of 260 and 261.

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 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 260 and 261.

LCM(260,261) = 22×32×51×131×291
LCM(260,261) = 67860

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 261

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

1, 3, 9, 29, 87, 261

Least Common Multiple of 260 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 260 and 261, than apply into the LCM equation.

GCF(260,261) = 1
LCM(260,261) = ( 260 × 261) / 1
LCM(260,261) = 67860 / 1
LCM(260,261) = 67860

Properties of LCM 260 and 261

(i) The LCM of 261 and 260 is associative

LCM of 260 and 261 = LCM of 261 and 260

Related Least Common Multiples of 260

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 260 and 261

1. What is the LCM of 260 and 261?

Answer: LCM of 260 and 261 is 67860.

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 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 260 and 261?

Answer:

Least Common Multiple of 260 and 261 = 67860

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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 = 67860 = 2 x 2 x 3 x 3 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 260 and 261 is 67860.