Least Common Multiple of 255 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 255 and 261 the smallest integer that is 22185 that is divisible by both numbers.

Least Common Multiple (LCM) of 255 and 261 is 22185.

LCM(255,261) = 22185

LCM of 255 and 261

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

LCM of:
and

Least Common Multiple of 255 and 261

LCM of 255 and 261 is 22185

Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 261. First we will calculate the prime factors of 255 and 261.

Prime Factorization of 255


3 255
5 85
17 17
1

Prime factors of 255 are 3, 5,17. Prime factorization of 255 in exponential form is:

255 = 31×51×171

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 255 and 261.

LCM(255,261) = 32×51×171×291
LCM(255,261) = 22185

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

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 255 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 255 and 261, than apply into the LCM equation.

GCF(255,261) = 3
LCM(255,261) = ( 255 × 261) / 3
LCM(255,261) = 66555 / 3
LCM(255,261) = 22185

Properties of LCM 255 and 261

(i) The LCM of 261 and 255 is associative

LCM of 255 and 261 = LCM of 261 and 255

Related Least Common Multiples of 255

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 255 and 261

1. What is the LCM of 255 and 261?

Answer: LCM of 255 and 261 is 22185.

2. What are the Factors of 255?

Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.

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 255 and 261?

Answer:

Least Common Multiple of 255 and 261 = 22185

Step 1: Find the prime factorization of 255

255 = 3 x 5 x 17

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 = 22185 = 3 x 3 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 255 and 261 is 22185.